On the Hecke eigenforms of half-integral weight and Dedekind-eta products

被引：0

作者：

Aydin, Banu Irez ^{[1
]}

Inam, Ilker ^{[2
]}

机构：

[1] Bilecik Seyh Edebali Univ, Vocat Sch, TR-11200 Bilecik, Turkiye

[2] Bilecik Seyh Edebali Univ, Dept Math, Fac Sci, TR-11200 Bilecik, Turkiye

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年

关键词：

Dedekind-eta function; eta quotients; modular forms of half-integral weight; Hecke eigenforms; Fourier coefficients;

D O I：

10.1142/S1793557123501310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Systematic choice of the Hecke eigenforms of half-integral weight is an interesting problem in the theory of modular forms. In this paper, we find all Dedekind-eta products of half-integral weight which are Hecke eigenforms up to weight 15/2 with varying levels. Proof is based on the Shimura lift.

引用

页数：6

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