The circle method and bounds for L-functions - IV: Subconvexity for twists of GL(3) L-functions

被引：36

作者：

Munshi, Ritabrata ^{[1
]}

机构：

[1] Tata Inst Fundamental Res, Bombay 400005, Maharashtra, India

来源：

ANNALS OF MATHEMATICS | 2015年 / 182卷 / 02期

关键词：

D O I：

10.4007/annals.2015.182.2.6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let pi be an SL(3, Z) Hecke-Maass cusp form satisfying the Ramanujan conjecture and the Selberg-Ramanujan conjecture, and let chi be a primitive Dirichlet character modulo M, which we assume to be prime for simplicity. We will prove that there is a computable absolute constant delta > 0 such that L(1/2, pi circle times chi) <<(pi) M3/4-5

引用

页码：617 / 672

页数：56

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