Arithmetic properties for Appell-Lerch sums

被引：3

作者：

Ding, W. H. ^{[1
]}

Xia, Ernest X. W. ^{[1
]}

机构：

[1] Suzhou Univ Sci & Technol, Sch Math Sci, Suzhou 215009, Jiangsu, Peoples R China

来源：

RAMANUJAN JOURNAL | 2021年 / 56卷 / 03期

基金：

美国国家科学基金会;

关键词：

Appell-Lerch sums; Generalized Lambert series; Congruence; CONGRUENCES; RAMANUJANS;

D O I：

10.1007/s11139-021-00497-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Recently, Chan proved some congruences and gave several conjectures for Appell-Lerch sums. Qu, Wang and Yao proved congruences modulo 2 which generalize some conjectures given by Chan. In this paper, we prove new congruences modulo 4 and 5 for Appell-Lerch sums.

引用

页码：763 / 783

页数：21

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