Two identities on the mock theta function V0(q)

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Mao, Renrong¹ 

[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China

关键词: Mock theta function;    Appell-Lerch sums;    Generalized Dedekind eta function;    Congruence;   

DOI  :  10.1016/j.jmaa.2019.06.018

来源: Elsevier

【 摘 要 】

In this paper, applying the theory of (mock) modular forms and Zwegers' results on Appell-Lerch sums, we establish two identities on the eighth-order mock theta function V-0(q). Using these identities, we prove some congruences for V-0(q). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free