Non-vanishing of the first derivative of GL(3) x GL(2) L-functions

被引：2
作者：
Chen, Guohua [1 ]
Yan, Xiaofei [2 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
来源：
INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 03期
基金：
中国国家自然科学基金;
关键词：
GL(3) x GL(2) Rankin-Selberg L-functions; non-vanishing; Kuznetsov formula; Voronoi formula; AUTOMORPHIC L-FUNCTIONS; DERIVATIVES;
D O I：
10.1142/S1793042118500513
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f be a fixed self-dual Hecke-Maass cusp form for SL(3, Z) and {mu(j)} be an orthogonal basis of odd Hecke-Maass cusp forms for SL(2, Z). We prove an asymptotic formula for the average of the first derivative of the Rankin-Selberg L-function of f and mu(j) at the center point s = 1/2. This implies the non-vanishing results for the first derivative of these L-functions at the center point s = 1/2.
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页码：847 / 869
页数：23
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