Jianya Liu

Jianya Liu is a Chinese mathematician specializing in analytic number theory. He is a professor at Shandong University and a member of the Chinese Academy of Sciences, recognized for his significant contributions to research on the distribution of prime numbers and related areas in number theory.

All published works

Action	Title	Year	Authors
+ PDF Chat	Anisotropic quadratic equations in three variables	2025	Jiamin Li Jianya Liu
+	Primes and almost primes on orbits of group actions	2024	Jianya Liu Zhao Wenjia
+ PDF Chat	Forms in prime variables and differing degrees	2024	Jianya Liu Sizhe Xie
+ PDF	Triples of almost primes	2023	Jiamin Li Jianya Liu
+	On forms in prime variables	2023	Jianya Liu Lilu Zhao
+ PDF Chat	Representation by sums of unlike powers	2021	Jianya Liu Lilu Zhao
+	On forms in prime variables	2021	Jianya Liu Lilu Zhao
+ PDF Chat	Representation by sums of unlike powers	2021	Jianya Liu Lilu Zhao
+ PDF	Birch-Goldbach theorems	2021	Jianya Liu Lilu Zhao
+ PDF	Möbius disjointness for skew products on a circle and a nilmanifold	2021	Wen Huang Jianya Liu Ke Wang
+	Representation by sums of unlike powers	2021	Jianya Liu Lilu Zhao
+	Manin's conjecture for singular cubic hypersurfaces	2021	Jianya Liu Tingting Wen Jie Wu
+	On forms in prime variables	2021	Jianya Liu Lilu Zhao
+	Double square moments and subconvexity bounds for Rankin-Selberg L-functions of holomorphic cusp forms	2020	Jianya Liu Haiwei Sun Yangbo Ye
+ PDF Chat	Gaussian primes in almost all narrow sectors	2020	Bingrong Huang Jianya Liu Zeév Rudnick
+ PDF	On a senary quartic form	2019	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	Subsampling bias and the best-discrepancy systematic cross validation	2019	Liang Guo Jianya Liu Ruodan Lu
+ PDF	On a certain non-split cubic surface	2019	Régis de la Bretèche Kévin Destagnol Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	Primes in arithmetic progressions with friable indices	2019	Jianya Liu Jie Wu Ping Xi
+	Gaussian primes in almost all narrow sectors	2019	Bingrong Huang Jianya Liu Zeév Rudnick
+	Möbius disjointness for skew products on a circle and a nilmanifold	2019	Wen Huang Jianya Liu Ke Wang
+	Subsampling Bias and The Best-Discrepancy Systematic Cross Validation	2019	Liang Guo Jianya Liu Ruodan Lu
+	On a senary quartic form	2018	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	On a senary quartic form	2018	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	On a senary quartic form	2018	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	On a senary quartic form	2018	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	On a senary quartic form	2018	Jianya Liu Jie Wu Yongqiang Zhao
+	Szu-Hoa Min (1913-1973): A pioneer of analytic number theory in China	2018	Zhang Ying-bo Jianya Liu
+ PDF	Manin’s Conjecture for a Class of Singular Cubic Hypersurfaces	2017	Jianya Liu Jie Wu Yongqiang Zhao
+	Manin's conjecture for a class of singular cubic hypersurfaces	2017	Jianya Liu Jie Wu Yongqiang Zhao
+	On a certain non-split cubic surface	2017	Régis de la Bretèche Jianya Liu Jie Wu Yongqiang Zhao
+	Manin's conjecture for a class of singular cubic hypersurfaces	2017	Jianya Liu Jie Wu Yongqiang Zhao
+ PDF	Local Behavior of Arithmetical Functions with Applications to Automorphic $L$-Functions	2016	Yuk-Kam Lau Jianya Liu Jie Wu
+ PDF Chat	Local Behavior of Arithmetical Functions with Applications to Automorphic L-Functions	2016	Yuk-Kam Lau Jianya Liu Jie Wu
+	of automorphic L-functions for GL m of same signs	2016	Jianya Liu Jie Wu
+ PDF Chat	The Möbius function and distal flows	2015	Jianya Liu Peter Sarnak
+	Number theory : plowing and starring through high wave forms : proceedings of the 7th China-Japan Seminar, Fukuoka, Japan, 28 October-1 November 2013	2015	昌信金子滋金光 Jianya Liu
+ PDF	The number of coefficients of automorphic L-functions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">GL</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub></mml:math> of same signs	2014	Jianya Liu Jie Wu
+	The Mobius disjointness conjecture for distal flows	2014	Jianya Liu Peter Sarnak
+	The number of coefficients of automorphic $L$-functions for $GL_m$ of same signs	2014	Jianya Liu Jie Wu
+	Automorphic forms and L-functions	2014	Jianya Liu
+ PDF	SIGN CHANGES OF THE COEFFICIENTS OF AUTOMORPHIC <i>L</i>-FUNCTIONS	2013	Yuk-Kam Lau Jianya Liu Jie Wu
+	Number theory : arithmetic in Shangri-La : proceedings of the 6th China-Japan Seminar, Shanghai, China, 15-17 August 2011	2013	滋金光 Hongze Li Jianya Liu
+	Enlarged major arcs in additive problems. II	2012	Jianya Liu
+	New Developments in the Additive Theory of Prime Numbers	2011	Jianya Liu Tao Zhan
+	Sign changes of the coefficients of automorphic L-functions	2011	Yuk-Kam Lau Jianya Liu Jie Wu
+ PDF	Two Linnik-type problems for automorphic <i>L</i>-functions	2011	Jianya Liu Yan Qu Jie Wu
+	On Mathematical Culture	2011	Jianya Liu
+	Integral points on quadrics with prime coordinates	2010	Jianya Liu
+	Enlarged major arcs in additive problems	2010	Jianya Liu
+	Integral points on quadrics in three variables whose coordinates have few prime factors	2010	Jianya Liu Peter Sarnak
+	Coefficients of symmetric square L-functions	2010	Yuk-Kam Lau Jianya Liu Jie Wu
+ PDF	Расширенные большие дуги в аддитивных задачах	2010	Ж Лиу Jianya Liu
+	Number theory : dreaming in dreams : proceedings of the 5th China-Japan Seminar, Higashi-Osaka, Japan, 27-31 August 2008	2010	貴史青木滋金光 Jianya Liu
+	A theorem on analytic strong multiplicity one	2008	Jianya Liu Yonghui Wang
+	On a conjecture of Montgomery-Vaughan on extreme values of automorphic 𝐿-functions at 1	2008	Jianya Liu Emmanuel Royer Jie Wu
+	Correlation of zeros of automorphic L-functions	2008	Jianya Liu Yangbo Ye
+	A Theorem on Analytic Strong Multiplicity One	2008	Jianya Liu Yonghui Wang
+	SHIFTED CONVOLUTION SUMS OF FOURIER COEFFICIENTS OF CUSP FORMS	2007	Yuk-Kam Lau Jianya Liu Yangbo Ye
+ PDF	Perron’s Formula and the Prime Number Theorem for Automorphic L-Functions	2007	Jianya Liu Yangbo Ye
+	THE PRIME NUMBER THEOREM FOR RANKIN-SELBERG $L$-FUNCTIONS(Analytic Number Theory and Surrounding Areas)	2006	Jianya Liu Yangbo Ye
+	The Prime Number Theorem for Rankin-Selberg L-functions (解析的整数論とその周辺研究集会報告集)	2006	Jianya Liu Yangbo Ye
+ PDF	Zeros of Automorphic L-Functions and Noncyclic Base Change	2006	Jianya Liu Yangbo Ye
+	Exponential sums over primes in short intervals	2006	Jianya Liu Guangshi Lü Tao Zhan
+	Subconvexity bounds for Rankin–Selberg L-functions for congruence subgroups	2006	Yuk-Kam Lau Jianya Liu Yangbo Ye
+	On a conjecture of Montgomery-Vaughan on extreme values of automorphic L-functions at 1	2006	Jianya Liu Emmanuel Royer Jie Wu
+	A proof of Selberg's orthogonality for automorphic L-functions	2005	Jianya Liu Yonghui Wang Yangbo Ye
+ PDF	Selberg's orthogonality conjecture for automorphic L -functions	2005	Jianya Liu Yangbo Ye
+ PDF	Weighted Selberg orthogonality and uniqueness of factorization of automorphic L-functions	2005	Jianya Liu Yangbo Ye
+ PDF	Mean-value estimates for nonlinear Weyl sums over primes	2005	Jianya Liu Jingmei Ye
+ PDF	Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression	2005	Jianya Liu Yangbo Ye
+	Small prime solutions of ternary linear equations	2005	Jianya Liu Kai-Man Tsang
+	Small prime solutions of quadratic equations II	2004	Kwok-Kwong Stephen Choi Jianya Liu
+ PDF	The quadratic Waring–Goldbach problem	2004	Jianya Liu Trevor D. Wooley Gang Yu
+ PDF	Four squares of primes and 165 powers of 2	2004	Jianya Liu Guangshi Lü
+	The quadratic Waring-Goldbach problem	2004	Jianya Liu Trevor D. Wooley Gang Yu
+	Subconvexity for Rankin-Selberg L-Functions of Maass Forms	2002	Jianya Liu Yangbo Ye
+ PDF	Small Prime Solutions of Quadratic Equations	2002	Kwok-Kwong Stephen Choi Jianya Liu
+ PDF	Superposition of zeros of distinct L-functions	2002	Jianya Liu Yangbo Ye
+	Squares of Primes and Powers of 2, II	2002	Jianya Liu Ming-Chit Liu Tao Zhan
+ PDF	Distribution of integers that are sums of three squares of primes	2001	Jianya Liu Tao Zhan
+	Hua's Theorem on Prime Squares in Short Intervals	2000	Jianya Liu Tao Zhan
+	Representation of Even Integers as Sums of Squares of Primes and Powers of 2	2000	Jianya Liu Ming-Chit Liu
+ PDF	The exceptional set in the four prime squares problem	2000	Jianya Liu Ming-Chit Liu
+	The Goldbach-Vinogradov Theorem	1999	Jianya Liu Tao Zhan
+	Squares of Primes and Powers of 2	1999	Jianya Liu Ming-Chit Liu Tao Zhan
+	Estimation of Exponential Sums over Primes in Short Intervals I	1999	Jianya Liu Tao Zhan
+ PDF	On the almost Goldbach problem of Linnik	1999	Jianya Liu Ming-Chit Liu Tianze Wang
+	The number of powers of 2 in a representation of large even integers II	1998	Jianya Liu Mingchit Liu Tianze Wang
+	Sums of five almost equal prime squares II	1998	Jianya Liu Tao Zhan
+	The number of powers of 2 in a representation of large even integers (I)	1998	Jianya Liu Ming-Chit Liu Tianze Wang
+	On a theorem of Hua	1997	Jianya Liu Tao Zhan
+	On an Error Term of Chowla, III	1997	Jianya Liu
+	On an Error Term of Chowla, I	1997	Jianya Liu
+	On an Error Term of Chowla, II	1997	Jianya Liu
+ PDF	The ternary Goldbach problem in arithmetic progressions	1997	Jianya Liu Tao Zhan
+ PDF	On sums of five almost equal prime squares	1996	Jianya Liu Tao Zhan
+	Remark on a theorem of Wolke	1995	Jianya Liu

Common Coauthors

Coauthor	Papers Together
Yangbo Ye	14
Jie Wu	9
Tao Zhan	9
Yongqiang Zhao	9
Jie Wu	7
Lilu Zhao	7
Yuk-Kam Lau	5
Ming-Chit Liu	4
Jie Wu	3
Jie Wu	3
Tianze Wang	3
滋金光	3
Peter Sarnak	3
Yonghui Wang	3
Emmanuel Royer	2
Yuk-Kam Lau	2
Ruodan Lu	2
Bingrong Huang	2
Yongqiang Zhao	2
Ke Wang	2
Trevor D. Wooley	2
Régis de la Bretèche	2
Zeév Rudnick	2
Jie Wu	2
Wen Huang	2
Liang Guo	2
Kwok-Kwong Stephen Choi	2
Gang Yu	2
Jiamin Li	2
Guangshi Lü	2
Tao Zhan	2
Jingmei Ye	1
Kévin Destagnol	1
Mingchit Liu	1
Kai-Man Tsang	1
Tao Zhan	1
昌信金子	1
Zhang Ying-bo	1
Yan Qu	1
Sizhe Xie	1
Hongze Li	1
Ming-Chit Liu	1
Ming-Chit Liu	1
Haiwei Sun	1
Tingting Wen	1
Ж Лиу	1
Ping Xi	1
Zhao Wenjia	1
貴史青木	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Multiplicative Number Theory	1980	H. Davenport	17
+	SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY	1938	Loo-Keng Hua	15
+	The Theory of the Riemann Zeta-Function	1987	E. C. Titchmarsh D. R. Heath‐Brown	14
+	On Certain L-Functions	1981	Freydoon Shahidi	11
+	Zeros of principal L-functions and random matrix theory	1996	Zeév Rudnick Peter Sarnak	11
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim	10
+	Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)	1984	Freydoon Shahidi	9
+ PDF	Lagrange's Four Squares Theorem with almost prime variables.	1994	Jörg Brüdern Étienne Fouvry	9
+	A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups	1990	Freydoon Shahidi	9
+	Boundedness of automorphic 𝐿–functions in vertical strips	2000	Stephen Gelbart Freydoon Shahidi	8
+	Additive Theory of Prime Numbers	2009	Hua Liu	8
+ PDF	Superposition of zeros of distinct L-functions	2002	Jianya Liu Yangbo Ye	8
+	On Euler Products and the Classification of Automorphic Representations I	1981	H. Jacquet J. A. Shalika	7
+	On Lagrange's Theorem with Prime Variables	2003	Jing Liu	7
+ PDF	Local coefficients as Artin factors for real groups	1985	Freydoon Shahidi	7
+	Analytic Proof of the Strong Multiplicity One Theorem	1985	Carlos Moreno	7
+	Rankin-Selberg Convolutions	1983	H. Jacquet I. I. Piatetskii-Shapiro J. A. Shalika	7
+ PDF	On the Waring-Goldbach Problem for Fourth and Fifth Powers	2001	Koichi Kawada Trevor D. Wooley	7
+ PDF	Affine linear sieve, expanders, and sum-product	2009	Jean Bourgain Alex Gamburd Peter Sarnak	6
+	Forms in many variables	1962	B. J. Birch	6
+ PDF	Zeta Functions of Simple Algebras	1972	Roger Godement Hervé Jacquet	6
+	Analytic Number Theory	2004	Henryk Iwaniec Emmanuel Kowalski	6
+ PDF	The exceptional set in the four prime squares problem	2000	Jianya Liu Ming-Chit Liu	6
+ PDF	Prime Numbers in Short Intervals and a Generalized Vaughan Identity	1982	D. R. Heath‐Brown	6
+ PDF	Le spectre résiduel de ${\rm GL}(n)$	1989	Colette Mœglin J. L. Waldspurger	6
+ PDF	Bounded gaps between primes	2014	Zhang Yitang	6
+ PDF Chat	Tamagawa numbers of polarized algebraic varieties	2018	Victor V. Batyrev Yuri Tschinkel	6
+ PDF	A Family of Calabi–Yau Varieties and Potential Automorphy II	2011	Tom Barnet-Lamb David Geraghty Michael Harris Richard Taylor	5
+	Cubic forms in sixteen variables	1963	H. Davenport	5
+ PDF	Some analogies of the Hardy-Littlewood equation	1984	F. B. Koval'chik	5
+	A proof of Selberg's orthogonality for automorphic L-functions	2005	Jianya Liu Yonghui Wang Yangbo Ye	5
+	Primes and powers of 2	1975	P. X. Gallagher	5
+	On exponential sums over primes and application in Waring-Goldbach problem	2005	Xiumin Ren	5
+	Integral points on quadrics in three variables whose coordinates have few prime factors	2010	Jianya Liu Peter Sarnak	5
+	The number of Hecke eigenvalues of same signs	2008	Yuk-Kam Lau Jie Wu	5
+ PDF	Linnik-type problems for automorphic L-functions	2009	Yan Qu	5
+	Squares of Primes and Powers of 2	1999	Jianya Liu Ming-Chit Liu Tao Zhan	5
+	Introduction to number theory	2009	Luo Hua	5
+ PDF	Large values of Dirichlet polynomials, III	1975	M. N. Huxley	5
+	ON SOME INFINITE SERIES INVOLVING ARITHMETICAL FUNCTIONS (II)	1937	H. Davenport	5
+ PDF	Selberg’s conjectures and Artin 𝐿-functions	1994	M. Ram Murty	5
+	On the Additive Theory of Prime Numbers	2008	Patrick Cégielski Denis Richard Maxim Vsemirnov	5
+	Topics in Classical Automorphic Forms	1997	Henryk Iwaniec	5
+	A Birch–Goldbach theorem	2010	Jörg Brüdern Rainer Dietmann J. Y. Liu Trevor D. Wooley	5
+	A note on Fourier coefficients of cusp forms on GL n	2006	Henry H. Kim	4
+	On Euler Products and the Classification of Automorphic Forms II	1981	H. Jacquet J. A. Shalika	4
+ PDF	A new method for lower bounds of L-functions	2004	Stephen Gelbart Erez Lapid Peter Sarnak	4
+ PDF	Selberg's orthogonality conjecture for automorphic L -functions	2005	Jianya Liu Yangbo Ye	4
+ PDF	Moyennes de certaines fonctions multiplicatives sur les entiers friables	2003	Guillaume Hanrot Gérald Tenenbaum Jie Wu	4
+ PDF	Small gaps between primes	2014	James Maynard	4