GAPS BETWEEN NONZERO FOURIER COEFFICIENTS OF CUSP FORMS

被引：8
|
作者：
Das, Soumya [1 ]
Ganguly, Satadal [2 ]
机构：
[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India
[2] Indian Stat Inst, Theoret Stat & Math Unit, Kolkata 700108, India
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 11期
关键词：
Fourier coefficients of cusp forms; sums of two squares; SUMS; EXPANSION; NUMBERS;
D O I：
10.1090/S0002-9939-2014-12164-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that for any even integer k >= 12, there are positive constants c and X-0 that depend only on k such that for all nonzero cusp forms f of weight k for the full modular group, any interval (X, X + cX(1/4)) with X > X-0 must contain an integer n with the n-th Fourier coefficient of f nonzero.
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页码：3747 / 3755
页数：9
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