Fourier coefficients of powers of the Dedekind eta function

被引：6
|
作者：
Heim, Bernhard [1 ]
Neuhauser, Markus [1 ]
Rupp, Florian [1 ]
机构：
[1] German Univ Technol Oman, Muscat, Oman
来源：
RAMANUJAN JOURNAL | 2019年 / 48卷 / 01期
关键词：
Fourier coefficients; Euler products; Dedekind eta function; Lehmer conjecture;
D O I：
10.1007/s11139-017-9923-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the vanishing properties of Fourier coefficients of rth powers of the Dedekind eta function. We give a certain type of classification of this property based on r. Further we extend the results of Atkin, Cohen, and Newman for odd powers. This leads to a partial answer to a question raised by van Lint. We also indicate possible generalization of the Lehmer conjecture.
引用
收藏
页码：1 / 11
页数：11
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