On a shifted convolution sum problem

被引：3
|
作者：
Munshi, Ritabrata [1 ]
机构：
[1] Indian Stat Inst, Theoret Stat & Math Unit, 203 BT Rd, Kolkata 700108, India
来源：
JOURNAL OF NUMBER THEORY | 2022年 / 230卷
关键词：
GL(2) forms; Shifted convolution sum; CIRCLE METHOD; BOUNDS;
D O I：
10.1016/j.jnt.2020.12.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let f be a holomorphic newform of prime level p and trivial nebentypus. For p(1+epsilon) << M << p(3-epsilon), and 0 < vertical bar u vertical bar << M/p we prove that Sigma(infinity)(m=1) lambda(f)(m)lambda(f) (m +pu)F(m/M) << p(1/4+epsilon) M-3/4 where F is a compactly supported smooth bump function. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：225 / 232
页数：8
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