Correlation of zeros of automorphic L-functions

Jianya Liu, Yangbo Ye

Type: Article

Publication Date: 2008-06-20

Citations: 6

DOI: https://doi.org/10.1007/s11425-008-0085-0

View Publication

Locations

Science in China Series A Mathematics - View

Similar Works

Action	Title	Year	Authors
+	Zeros and central values of automorphic L-functions	2001	Zhuangzhuang Peng
+	Extreme Values of Automorphic L-Functions	2013	O. M. Fomenko
+	Zero-density estimates for automorphic L-functions	2009	De Yu Zhang
+	Moments of automorphic L-functions	2016	Ming-ho Ng
+	Pair correlation of zeros of quadratic $L$-functions near the real axis (Automorphic Forms and Related Zeta Functions)	2015	惠樹宗野
+	A Zero Density Estimate for Automorphic L-functions	2006	Deyu Zhang
+	A Zero Density Estimate for Automorphic L-functions	2006	张德瑜刘建亚
+	Zeros of L-functions	2012	Ze-Li Dou Qiao Zhang
+	Distribution of zeros of twisted automorphic L-functions with large level	1998	Fernando Chamizo Jacek Pomykała
+	The non-vanishing of central values of automorphic L-functions and Landau-Siegel zeros	2000	Henryk Iwaniec Peter Sarnak
+	Superposition of zeros of automorphic L-functions and functoriality	2011	Timothy Gillespie
+ PDF Chat	Low lying zeros of families of L-functions	2000	Henryk Iwaniec Wenzhi Luo Peter Sarnak
+	Appendix B: Sato–Tate theorem for families and low-lying zeros of automorphic L-functions	2016	Raf Cluckers Julia Gordon Immanuel Halupczok
+	Sign changes of the coefficients of automorphic L-functions	2011	Yuk-Kam Lau Jianya Liu Jie Wu
+	Functoriality of automorphic L-functions through their zeros	2008	JianYa Liu Yangbo Ye
+ PDF Chat	Distinct zeros of L-functions	1998	Enrico Bombieri Alberto Perelli
+	Mean-square estimate of automorphic L-functions	2020	Weili Yao
+	Analytic Properties of Automorphic L-Functions	1988	Stephen Gelbart
+	Integrals of automorphic forms and L-functions	2014	Lefteris Tsiokos
+	Zeros of L-functions (chapter 9)	1994	Hugh L. Montgomery

Works That Cite This (5)

Action	Title	Year	Authors
+	Functoriality of automorphic L-functions through their zeros	2008	JianYa Liu Yangbo Ye
+	FACTORIZATION OF AUTOMORPHIC L-FUNCTIONS AND THEIR ZERO STATISTICS	2013	Tim Gillespie
+	Solvable base change and Rankin-Selberg convolutions	2016	Tim Gillespie
+ PDF Chat	On a Rankin-Selberg <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:math>-Function over Different Fields	2014	Tim Gillespie
+	Zero correlation with lower-order terms for automorphic L-functions	2015	Timothy Gillespie Yangbo Ye

Works Cited by This (17)

Action	Title	Year	Authors
+	None	2001	Dennis A. Hejhal Andreas Strömbergsson
+	Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂	2002	Henry Kim
+	Number theory : tradition and modernization	2006	Wenpeng Zhang Yoshio Tanigawa
+ PDF Chat	Zeros of Automorphic L-Functions and Noncyclic Base Change	2006	Jianya Liu Yangbo Ye
+	A proof of Selberg's orthogonality for automorphic L-functions	2005	Jianya Liu Yonghui Wang Yangbo Ye
+ PDF Chat	Selberg's orthogonality conjecture for automorphic L -functions	2005	Jianya Liu Yangbo Ye
+	A note on Fourier coefficients of cusp forms on GL n	2006	Henry H. Kim
+ PDF Chat	The pair correlation of zeros of the Riemann zeta function and distribution of primes	2001	Jingwen Liu Y. Ye
+ PDF Chat	Distribution of zeros of Dirichlet L-functions and the least prime in an arithmetic progression	2005	Jianya Liu Yangbo Ye
+ PDF Chat	On the distribution of spacings between zeros of the zeta function	1987	Andrew Odlyzko