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

页码：1 / 11

页数：11

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