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On a multiplicative hybrid problem over almost-primes
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2024
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Yuetong Zhao
Wenguang Zhai
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Power moments and zero density estimates of automorphic <i>L</i>-function
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2024
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Rui Zhang
Wenguang Zhai
Deyu Zhang
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An additive problem over intersection of two Piatetski–Shapiro prime sets and almost-primes
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2024
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Xiaotian Li
Wenguang Zhai
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New evaluations for a certain number-theoretic error term
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2024
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Haihong Fan
Wenguang Zhai
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On the consecutive k-free values for certain classes of polynomials
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2023
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Haihong Fan
Wenguang Zhai
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PDF
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On some sums involving the counting function of nonisomorphic Abelian groups*
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2023
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Haihong Fan
Wenguang Zhai
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PDF
Chat
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The average size of Ramanujan sums over cubic number fields
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2023
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Jing Ma
Huayan Sun
Wenguang Zhai
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Primes in the intersection of two Piatetski-Shapiro sets
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2023
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Xiaotian Li
Wenguang Zhai
Jinjiang Li
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On a conjecture of Ram\'ırez Alfons\'ın and Skałba II
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2023
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Yuchen Ding
Wenguang Zhai
Lilu Zhao
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A Symmetric Form of the Mean Value Involving Non-Isomorphic Abelian Groups
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2022
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Haihong Fan
Wenguang Zhai
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Sums of the kth divisor function of the ternary quadratic with prime variables
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2022
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Yuetong Zhao
Wenguang Zhai
Jinjiang Li
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Higher power moments of symmetric square L-function
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2022
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Jing-Song Huang
Wenguang Zhai
Deyu Zhang
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On a sum involving small arithmetic functions
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2022
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Wenguang Zhai
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On some sums involving the counting function of non-isomorphic abelian groups
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2022
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Haihong Fan
Wenguang Zhai
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The average size of Ramanujan sums over quadratic number fields(II)
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2021
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Wenguang Zhai
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Manin’s conjecture for a class of singular cubic hypersurfaces
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2021
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Wenguang Zhai
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Diophantine inequalities over Piatetski-Shapiro primes
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2021
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Jing-Song Huang
Wenguang Zhai
Deyu Zhang
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On hybrid moments of $$\Delta _2(x)$$ and $$\Delta _3(x)$$
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2021
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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Some mean value results related to Hardy’s function
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2021
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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On Sums Of Coefficients Of Maass Forms For <i>SL</i>(3, ℤ)
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2021
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Wenguang Zhai
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The average size of Ramanujan sums over quadratic number fields
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2021
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Wenguang Zhai
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Corrigendum to “On a sum involving the Euler function” [J. Number Theory 202 (2019) 278–297]
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2021
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Wenguang Zhai
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$ \Omega $-result for the index of composition of an integral ideal
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2021
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Jing-Song Huang
Wenguang Zhai
Deyu Zhang
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+
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The Average Size of Ramanujan Sums over Cubic Number Fields
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2021
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Jing Ma
Huayan Sun
Wenguang Zhai
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PDF
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Average of Hardy’s function at Gram points
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2021
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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The average size of Ramanujan sums over quadratic number fields(II)
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2021
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Wenguang Zhai
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Second moment of error term of mean value for binary Egyptian fractions
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2020
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Xuanxuan Xiao
Wenguang Zhai
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PDF
Chat
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On the average number of cyclic subgroups of the groups $${\mathbb {Z}}_{n_1} \times {\mathbb {Z}}_{n_2}\times {\mathbb {Z}}_{n_3}$$ with $$n_1,n_2,n_3\le x$$
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2020
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László Tóth
Wenguang Zhai
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Some mean value results related to Hardy's function
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2020
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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Average of Hardy's function at Gram points
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2020
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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PDF
Chat
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Error term of the mean value theorem for binary Egyptian fractions
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2020
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Xuanxuan Xiao
Wenguang Zhai
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On a sum involving the Euler function
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2019
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Wenguang Zhai
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PDF
Chat
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On certain integrals involving the Dirichlet divisor problem
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2019
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Aleksandar Ivić
Wenguang Zhai
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On the divisor problem with congruence conditions
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2019
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Lirui Jia
Wenguang Zhai
Tianxin Cai
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+
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Power moments of Hecke eigenvalues for congruence group
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2018
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Ping Song
Wenguang Zhai
Deyu Zhang
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+
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On multivariable averages of divisor functions
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2018
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László Tóth
Wenguang Zhai
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+
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On the error term concerning the number of subgroups of the groups $\mathbb {Z}_m \times \mathbb {Z}_n$ with $m,n\le x$
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2018
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László Tóth
Wenguang Zhai
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On certain integrals involving the Dirichlet divisor problem
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2017
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Aleksandar Ivić
Wenguang Zhai
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PDF
Chat
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Ω-Result for the index of composition of an integer
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2017
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Yankun Sui
Wenguang Zhai
Deyu Zhang
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A weighted divisor problem
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2017
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Lirui Jia
Wenguang Zhai
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PDF
Chat
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On the sign changes in a weighted divisor problem
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2017
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Lirui Jia
Tianxin Cai
Wenguang Zhai
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On certain integrals involving the Dirichlet divisor problem
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2017
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Aleksandar Ivić
Wenguang Zhai
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PDF
Chat
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Tong-type identity and the mean square of the error term for an extended Selberg class
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2016
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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PDF
Chat
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Mean square of the error term in the asymmetric multidimensional divisor problem
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2016
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Xiaodon Cao
Yoshio Tanigawa
Wenguang Zhai
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PDF
Chat
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On the mean of the shifted error term in the theory of the Dirichlet divisor problem
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2016
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Xiaodong Cao
Jun Furuya
Yoshio Tanigawa
Wenguang Zhai
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A Weighted Divisor Problem
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2016
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Lirui Jia
Wenguang Zhai
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On the Sign Changes of a Weighted Divisor Problem
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2016
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Lirui Jia
Tianxin Cai
Wenguang Zhai
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On the mean square of an arithmetical error term of the Selberg class in short intervals
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2015
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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On some mean value results for the zeta-function and a divisor problem II
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2015
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Aleksandar Ivić
Wenguang Zhai
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PDF
Chat
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Shifted convolution of cusp-forms with $$\theta $$ θ -series
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2015
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Guangshi Lü
Jie Wu
Wenguang Zhai
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Mean square of the error term in the asymmetric many dimensional divisor problem
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2015
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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PDF
Chat
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Asymptotics for a class of arithmetic functions
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2015
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Wenguang Zhai
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+
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On the differences between two kinds of mean value formulas of number-theoretic error terms
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2014
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Xiaodong Cao
Jun Furuya
Yoshio Tanigawa
Wenguang Zhai
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PDF
Chat
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On a Hybrid Fourth Moment Involving the Riemann Zeta-Function
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2014
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Aleksandar Ivić
Wenguang Zhai
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PDF
Chat
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On the four-dimensional divisor problem of $(a,b,c,c)$ type
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2013
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Xiaodong Cao
Wenguang Zhai
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PDF
Chat
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A generalized divisor problem and the sum of Chowla and Walum II
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2013
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Xiaodong Cao
Jun Furuya
Yoshio Tanigawa
Wenguang Zhai
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PDF
Chat
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On the Dirichlet divisor problem in short intervals
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2013
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Aleksandar Ivić
Wenguang Zhai
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+
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Conditional Results for a Class of Arithmetic Functions: a variant of H. L. Montgomery and R. C. Vaughan's method
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2013
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Xiaodong Cao
Wenguang Zhai
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On an Open Problem of Toth
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2013
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Deyu Zhang
Wenguang Zhai
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+
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On a hybrid fourth moment involving the Riemann zeta-function
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2013
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Aleksandar Ivić
Wenguang Zhai
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+
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On the mean value of the index of composition of an integral ideal (II)
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2012
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Deyu Zhang
Wenguang Zhai
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+
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A generalized divisor problem and the sum of Chowla and Walum
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2012
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Xiaodong Cao
Jun Furuya
Yoshio Tanigawa
Wenguang Zhai
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On the Dirichlet divisor problem in short intervals
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2012
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Aleksandar Ivić
Wenguang Zhai
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+
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ON THE MEAN VALUE OF THE INDEX OF COMPOSITION OF AN INTEGER II
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2012
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Deyu Zhang
MEIMEI LÜ
Wenguang Zhai
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PDF
Chat
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Sign changes of the error term in Weyl’s law for Heisenberg manifolds
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2012
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Kai-Man Tsang
Wenguang Zhai
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+
PDF
Chat
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Some problems about the ternary quadratic form m<sub>1</sub><sup>2</sup>+m<sub>2</sub><sup>2</sup>+m<sub>3</sub><sup>2</sup>
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2012
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Guo Ru-ting
Wenguang Zhai
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PDF
Chat
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On a divisor problem related to the Epstein zeta-function, IV
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2012
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Guangshi Lü
Jie Wu
Wenguang Zhai
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+
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On the Dirichlet divisor problem in short intervals
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2012
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Aleksandar Ivić
Wenguang Zhai
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+
PDF
Chat
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The equation n<sub>1</sub>n<sub>2</sub>=n<sub>3</sub>n<sub>4</sub>, the gcd-sum function and the mean values of certain character sums
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2011
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Huaning Liu
Wenguang Zhai
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On a divisor problem related to the Epstein zeta-function, II
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2011
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Guangshi Lü
Jie Wu
Wenguang Zhai
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ON THE FIFTH-POWER MOMENT OF Δ(x)
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2011
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Deyu Zhang
Wenguang Zhai
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+
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On the mean value of the index of composition of an integral ideal
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2011
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Deyu Zhang
Wenguang Zhai
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+
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Reciprocals of the Gcd-Sum Functions
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2011
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Shiqin Chen
Wenguang Zhai
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+
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Mean Values of a Class of Arithmetical Functions
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2011
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Deyu Zhang
Wenguang Zhai
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+
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On a conjecture of Chowla and Walum
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2010
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Xiaodong Cao
Yoshio Tanigawa
Wenguang Zhai
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Some Arithmetic Functions Involving
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2010
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Xiaodong Cao
Wenguang Zhai
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PDF
Chat
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Моменты высших порядков для остаточного члена в проблеме делителей
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2010
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Александaр Павле Ивич
Aleksandar Ivić
Венгуанг Цай
Wenguang Zhai
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Mean Values of a Gcd-Sum Function Over Regular Integers Modulo n
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2010
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Deyu Zhang
Wenguang Zhai
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+
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On the prime power factorization of n!
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2009
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Wenguang Zhai
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+
PDF
Chat
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On the error term in Weyl’s law for the Heisenberg manifolds (II)
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2009
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Wenguang Zhai
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+
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ON THE FOURTH POWER MOMENT OF Δx AND E(x) IN SHORT INTERVALS
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2009
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Yoshio Tanigawa
Wenguang Zhai
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+
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On the mean square of the error term for the asymmetric two-dimensional divisor problems(II)
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2009
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Xxiaodong Cao
Wenguang Zhai
|
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+
PDF
Chat
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A note on the pseudorandomness of the Liouville function
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2009
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Huaning Liu
Wenguang Zhai
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+
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Higher moments of the error term in the divisor problem
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2009
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Aleksandar Ivić
Wenguang Zhai
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+
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On the mean square of the error term for the asymmetric two-dimensional divisor problem (I)
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2008
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Xxiaodong Cao
Wenguang Zhai
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+
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On the Gcd-Sum Function
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2008
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Yoshio Tanigawa
Wenguang Zhai
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+
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On the fourth power moment of $\Delta(x)$ and $E(x)$ in short intervals
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2008
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Yoshio Tanigawa
Wenguang Zhai
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+
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On the mean square of the error term for the two-dimensional divisor problems(II)
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2008
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Xiaodong Cao
Wenguang Zhai
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+
PDF
Chat
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On the error term in Weyl's law for Heisenberg manifolds
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2008
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Wenguang Zhai
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+
PDF
Chat
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On the k-free divisor problem (II)
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2008
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Jun Furuya
Wenguang Zhai
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+
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On the error term in Weyl's law for the Heisenberg manifolds
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2008
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Wenguang Zhai
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+
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On higher-power moments of $Δ(x)$(III)
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2008
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Wenguang Zhai
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+
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On the fourth power moment of $Δ(x)$ and $E(x)$ in short intervals
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2008
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Yoshio Tanigawa
Wenguang Zhai
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+
PDF
Chat
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On the Rankin-Selberg problem: higher power moments of the Riesz mean error term
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2007
|
Yoshio Tanigawa
Wenguang Zhai
DeYu Zhang
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+
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On the representation of large integers as sums of four almost equal squares of primes
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2007
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Guangshi Lü
Wenguang Zhai
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+
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Dirichlet series associated with polynomials and applications
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2006
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Yoshio Tanigawa
Wenguang Zhai
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+
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Square-Free Integers as Sums of Two Squares
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2006
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Wenguang Zhai
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+
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On a Diophantine Inequality Over Primes (II)
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2006
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Wenguang Zhai
Xiaodong Cao
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+
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On Sums of Two Coprime k-th Powers(II)
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2006
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Wenguang Zhai
Xiaodong Cao
|
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+
PDF
Chat
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On the mean value of the index of composition of an integer
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2006
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Wenguang Zhai
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+
PDF
Chat
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On the k-free divisor problem
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2006
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Jun Furuya
Wenguang Zhai
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+
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On the Additive Square Complements and Its Divisor Problem
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2006
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Wenguang Zhai
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+
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On Sums of Two Coprime k-th Powers
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2005
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Wenguang Zhai
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+
PDF
Chat
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On higher-power moments of E(t)
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2004
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Wenguang Zhai
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+
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On Three-dimensional Divisor Problem of (a, a, b) Type
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2004
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Wenguang Zhai
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+
PDF
Chat
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On higher-power moments of Δ(x) (II)
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2004
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Wenguang Zhai
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+
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On the higher moments of the error term in the divisor problem
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2004
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Aleksandar Ivić
Wenguang Zhai
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+
PDF
Chat
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On higher-power moments of Δ (x)
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2004
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Wenguang Zhai
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+
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Short Interval Results for a Class of Integers
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2003
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Wenguang Zhai
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+
PDF
Chat
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On primitive lattice points in planar domains
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2003
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Wenguang Zhai
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+
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On the Sum of Multidimensional Divisor Function on a Special Sequence
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2003
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Wenguang Zhai
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+
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ON THE SIMULTANEOUS DISTRIBUTION OF THE FRACTIONAL PARTS OF DIFFERENT POWERS OF PRIMES (New Aspects of Analytic Number Theory)
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2002
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Wenguang Zhai
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PDF
Chat
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On the number of primitive Pythagorean triangles
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2002
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Wenguang Zhai
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+
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A special two-dimensional divisor problem
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2002
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Wenguang Zhai
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+
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On the Simultaneous Distribution of the Fractional Parts of Different Powers of Prime Numbers
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2001
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Wenguang Zhai
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+
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On the Average Number of Unitary Factors of Finite Abelian Groups (II)
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2000
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Wenguang Zhai
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+
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On the Average Number of Unitary Factors of Finite Abelian Groups (II)
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2000
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Wenguang Zhai
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+
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On the Distribution of r-Full and l-Free Integersin Short Intervals
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2000
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Wenguang Zhai
Xiaodong Cao
|
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+
PDF
Chat
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On a system of two diophantine inequalities with prime numbers
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2000
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Wenguang Zhai
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+
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Multiple exponential sums with monomials
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2000
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Xiaodong Cao
Wenguang Zhai
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+
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The Additive Completion of kth Powers
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1999
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Wenguang Zhai
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+
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On thek dimensional Piatetski-Shapiro prime number theorem
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1999
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Wenguang Zhai
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+
PDF
Chat
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On sums and differences of two coprime kth powers
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1999
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Wenguang Zhai
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+
PDF
Chat
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On the number of coprime integer pairs within a circle
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1999
|
Wenguang Zhai
Xiaodong Cao
|
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+
PDF
Chat
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On the average number of direct factors of finite abelian groups (II)
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1999
|
Wenguang Zhai
|
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+
PDF
Chat
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On the average number of unitary factors of finite abelian groups
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1998
|
Wenguang Zhai
Xiaodong Cao
|
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+
PDF
Chat
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The distribution of square-free numbers of the form $[n^c]$
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1998
|
Xiaodong Cao
Wenguang Zhai
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+
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Reciprocal sums of a class of additive functions in short intervals
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1997
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Wenguang Zhai
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+
PDF
Chat
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On the average number of direct factors of finite abelian groups
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1997
|
Wenguang Zhai
Xiaodong Cao
|
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+
PDF
Chat
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On a multiplicative hybrid problem
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1995
|
Wenguang Zhai
|