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Research Article | Open Access

New proofs for three identities of seventh order mock theta functions

School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China
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Abstract

Using the three-term Weierstrass relation for theta functions and the properties of Hecke-type double sums and Appell-Lerch sums, we give new and simple proofs for the seventh order mock theta conjectures.

Keywords

mock theta functionsHecke-type double sumsAppell-Lerch sumsthe three-term Weierstrass relation
CLC number: 11F27, 33D15

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AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4806-4813
DOI: 10.3934/math.2023238

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Cite this article:
Hao L. New proofs for three identities of seventh order mock theta functions. AIMS Mathematics, 2023, 8(2): 4806-4813. https://doi.org/10.3934/math.2023238

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Received: 19 October 2022
Revised: 29 November 2022
Accepted: 02 December 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)