TWO CONGRUENCES FOR APPELL-LERCH SUMS

被引：14

作者：

Chan, Song Heng ^{[1
]}

Mao, Renrong ^{[1
]}

机构：

[1] Nanyang Technol Univ, Div Math Sci, Sch Phys & Math Sci, Singapore 637371, Singapore

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2012年 / 8卷 / 01期

关键词：

Congruences; Appell-Lerch; q-series; mock theta; generalized Lambert series; MOCK THETA-FUNCTIONS; IDENTITIES;

D O I：

10.1142/S1793042112500066

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two congruences are proved for an infinite family of Appell-Lerch sums. As corollaries, special cases imply congruences for some of the mock theta functions of order two, six and eight.

引用

页码：111 / 123

页数：13

共 19 条

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Chan, Song Heng
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[10] Generalized Lambert series identities
Chan, Song Heng
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2005, 91 : 598 - 622

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