TWO CONGRUENCES FOR APPELL-LERCH SUMS

被引：13
|
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
收藏
页码：111 / 123
页数：13
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