New proofs for three identities of seventh order mock theta functions

AIMS Mathematics

article

Lijun Hao¹ 

[1] School of Science, Zhejiang Sci-Tech University

关键词: mock theta functions;    Hecke-type double sums;    Appell-Lerch sums;    the three-term Weierstrass relation;   

DOI  :  10.3934/math.2023238

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

Using the three-term Weierstrass relation for theta functions and the properties of Hecke-type double sums and Appell-Lerch sums, we give new and simple proofs for the seventh order mock theta conjectures.

【 授权许可】

CC BY