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
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)