On the mean square of an arithmetical error term of the Selberg class in short intervals

Xiaodong Cao, Yoshio Tanigawa, Wenguang Zhai

Type: Article

Publication Date: 2015-10-19

Citations: 4

DOI: https://doi.org/10.1142/s1793042116501037

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Locations

International Journal of Number Theory - View

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+ PDF Chat	Tong-type identity and the mean square of the error term for an extended Selberg class	2016	Xiaodong Cao Yoshio Tanigawa Wenguang Zhai
+	Averages of shifted convolutions of general divisor sums involving Hecke eigenvalues	2021	Dan Wang
+ PDF Chat	On the sum of $\varDelta_k(n)$ in the Piltz divisor problem for $k=3$ and $k=4$	2024	T. Makoto Minamide Yoshio Tanigawa Nigel Watt
+	Sign Changes of the Error Term in the Piltz Divisor Problem	2024	Siegfred Baluyot Cruz Castillo

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	Large values of certain number-theoretic error terms	1990	Aleksandar Ivić
+	The Riemann Zeta-Function	1992	A. A. Karatsuba Сергей Воронин
+ PDF Chat	The distribution and moments of the error term in the Dirichlet divisor problem	1992	D. R. Heath‐Brown
+	Axiomatic Theory of L-Functions: the Selberg Class	2006	Jerzy Kaczorowski
+	On the Bethe-Sommerfeld conjecture for the polyharmonic operator	2001	Leonid Parnovski Alexander V. Sobolev
+	On the Holomorphy of Certain Dirichlet Series	1975	Goro Shimura
+	Some Asymptotic Formulae in the Theory of Numbers	1927	A. E. Ingham
+ PDF Chat	On the Dirichlet divisor problem in short intervals	2013	Aleksandar Ivić Wenguang Zhai
+	Sign Changes of E(T), Δ(x), and P(x)	1994	D. R. Heath‐Brown Kai-Man Tsang
+ PDF Chat	Averages of shifted convolutions of<i>d</i><sub>3</sub>(<i>n</i>)	2012	Stephan Baier T. D. Browning Gihan Marasingha Liangyi Zhao