AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (206.4 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
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
Show Author Information

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

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 2,
February 2023
Pages 4806-4813
DOI: 10.3934/math.2023238

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
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

10

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
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)