Generalizations of some conjectures of Chan on congruences for Appell-Lerch sums

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:460

Article

Qu, Y. K.¹  Wang, Y. J.²  Yao, Olivia X. M.² 

[1] LuoYang Normal Univ, Dept Math, Luoyang 471022, Peoples R China

[2] Jiangsu Univ, Dept Math, Zhenjiang 212013, Jiangsu, Peoples R China

关键词: Appell-Lerch sums;    Generalized Lambert series;    Congruence;    Theta function;   

DOI  :  10.1016/j.jmaa.2017.11.035

来源: Elsevier

【 摘 要 】

In this paper, we prove several congruences for Appell-Lerch sums which generalize some conjectures given by Chan. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free