On Short Sums Involving Fourier Coefficients of Maass Forms

被引：0

作者：

Jaasaari, Jesse ^{[1
]}

机构：

[1] Univ Turku, Dept Math & Stat, FI-20014 Turku, Finland

来源：

JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX | 2020年 / 32卷 / 03期

关键词：

Fourier coefficients of automorphic forms; higher rank Maass cusp forms; sums of Hecke eigenvalues; MOMENTS; SQUARE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study sums of Hecke eigenvalues of Hecke-Maass cusp forms for the group SL(n, Z), with general n >= 3, over short intervals of certain length under the assumption of the generalised Lindelof hypothesis and a slightly stronger upper bound concerning the exponent towards the Ramanujan-Petersson conjecture than is currently known. In particular, in this case we evaluate the second moment of the sums in question asymptotically.

引用

页码：761 / 793

页数：33

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