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Functoriality of automorphic L-functions through their zeros被引量：2
《Science China Mathematics》2009年第1期1-16,共16页LIU JianYa YE YangBo 
supported by the National Basic Research Program of China, the National Natural Science Foundation of China (Grant No. 10531060);Ministry of Education of China (Grant No. 305009);The second author was supported by the National Security Agency (Grant No. H98230-06-1-0075);The United States Government is authorized to reproduce and distribute reprints notwithstanding any copyright notation herein
Let E be a Galois extension of ? of degree l, not necessarily solvable. In this paper we first prove that the L-function L(s, π) attached to an automorphic cuspidal representation π of $ GL_m (E_\mathbb{A} ) $ canno...
关键词：automorphic induction automorphic L-function functoriality zero correlation 11F70 11M26 11M41 
Correlation of zeros of automorphic L-functions被引量：2
《Science China Mathematics》2008年第7期1147-1166,共20页LIU JianYa1 & YE YangBo1,2 1 School of Mathematics,Shandong University,Jinan 250100, China 2Department of Mathematics,The University of Iowa,Iowa City,IA 52242-1419,USA 
supported by the 973 Program;the National Natural Science Foundation of China (GrantNo. 10531060);Ministry of Education of China (Grant No. 305009);The second author was supportedby the National Security Agency of USA (Grant No. H98230-06-1-0075);The United States government isauthorized to reproduce and distribute reprints notwithstanding any copyright notation herein.
We compute the n-level correlation of normalized nontrivial zeros of a product of Lfunctions: L(s, π1) … L(s, π k ), where πj, j = 1, …, k, are automorphic cuspidal representations of GL mj (?A). Here the sizes o...
关键词：automorphic L-function zero correlation Selberg’s orthogonality conjecture 11F70 11M26 11M41 
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