A NOTE ON THE CONSTANT TERM METHOD TO MOCK THETA FUNCTIONS

Lin Xue; Zhizheng Zhang; Hanfei Song

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

Volume 7, Issue 1 Pages 19-30 December 31, 2019 533 downloads

Article overview

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 functionConstant term methodTheta functionHecke type series.

AMS Subject Classification

11F03, 11B65, 11F27.

Reference information

How to Cite

Lin Xue, Zhizheng Zhang, Hanfei Song (2019). A NOTE ON THE CONSTANT TERM METHOD TO MOCK THETA FUNCTIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 7(1), 19-30.

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