A NOTE ON THE CONSTANT TERM METHOD TO MOCK THETA FUNCTIONS

Print ISSN: 2319-1023 | Online ISSN: | Total Downloads : 248

Volume : 7 , Issue : 1
DOI:
Author :
Lin Xue (Department of Mathematics, Luoyang Normal University, Luoyang, 471934, P.R. CHINA)
Zhizheng Zhang (Department of Mathematics, Luoyang Normal University, Luoyang, 471934, P.R. CHINA)
Hanfei Song (College of Mathematics and Information Science, Henan Normal University, Xinxiang 453001, P.R. CHINA)

Abstract

The main purpose of this paper is to show that certain mock theta functions can be expressed as constant terms in the Laurent series expansion of rational functions of theta functions. And, two identities can be proved by using the constant term method.

Keywords and Phrases

Mock theta function, Constant term method, Theta function, Hecke type series.

A.M.S. subject classification

11F03, 11B65, 11F27.

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