Sub-convexity bound for GL(3) x GL(2) L-functions: the depth aspect

被引：0

作者：

Kumar, Sumit ^{[1
]}

Mallesham, Kummari ^{[1
]}

Singh, Saurabh Kumar ^{[2
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, 203 BT Rd, Kolkata 700108, India

[2] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

MATHEMATISCHE ZEITSCHRIFT | 2022年 / 301卷 / 03期

关键词：

Maass forms; subconvexity; Rankin-Selberg L-functions; DIRICHLET L-FUNCTIONS; FOURIER COEFFICIENTS; HYBRID BOUNDS; CIRCLE METHOD; SUBCONVEXITY; TWISTS;

D O I：

10.1007/s00209-022-02993-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we will prove the following sub-convex bound L(1/2, pi x f x chi) <<(f,pi,epsilon) (p(r))(3/2-3/20+epsilon), for GL(3) x GL(2) Rankin Selberg L-functions.

引用

页码：2229 / 2268

页数：40

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