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一些与仿theta函数相关的函数

曲帅龙

曲阜师范大学学报(自然科学版)2025,Vol.51Issue(2):33-40,8.
曲阜师范大学学报(自然科学版)2025,Vol.51Issue(2):33-40,8.DOI:10.3969/j.issn.1001-5337.2025.2.033

一些与仿theta函数相关的函数

Some functions related to some mock theta functions

曲帅龙1

作者信息

  • 1. 青海师范大学数学与统计学院,810008,青海省西宁市
  • 折叠

摘要

Abstract

In the last letter to Hardy,Ramanujan introduced 17 classical mock theta functions,which can be represented by Euler forms,Hecke-type double sums,Appell-Lerch sums,and Fourier coefficients of meromorphic Jacobi forms.In this paper,we find four new functions related to some mock theta functions.Meanwhile,we present the Hecke-type double sums for our functions.Lastly,some relations between our new functions and some classical mock theta functions are established.

关键词

仿theta函数/Hecke型双重求和/Appell-Lerch求和

Key words

mock theta functions/Hecke-type double sums/Appell-Lerch sums

分类

数理科学

引用本文复制引用

曲帅龙..一些与仿theta函数相关的函数[J].曲阜师范大学学报(自然科学版),2025,51(2):33-40,8.

基金项目

国家自然科学基金(12001309). (12001309)

曲阜师范大学学报(自然科学版)

1001-5337

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