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 (253.2 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

Arithmetic properties of the Fourier coefficients of the eighth-order mock theta function

Arooj Fatima1, Fatemah Mofarreh2, Ahmer Ali3( )
Department of Mathematics, Government College Women University, Sialkot 51300, Pakistan
Mathematical Science Department, College of Science, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi Arabia
Department of Mathematics, University of Narowal, Narowal 51600, Pakistan
Show Author Information

Abstract

In this paper, we investigate the arithmetic properties of the coefficients of the eighth-order mock theta function V 0 ( q ), building upon the foundational work of Gordon and McIntosh on mock theta functions. Several novel dissection formulas are derived, leading to new identities for the Dedekind eta function at level 8. Furthermore, we establish new congruence relations and partition recurrence formulas associated with the coefficients of the eighth-order mock theta function.

Keywords

mock theta functionq-seriescongruence relationJacobi triple productmodular formsEisenstein seriescusp formsinteger partition
CLC number: Primary 11F27; Secondary 11F37, 05A17

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 11 Issue 5,
May 2026
Pages 13818-13836
DOI: 10.3934/math.2026569

{{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:
Fatima A, Mofarreh F, Ali A. Arithmetic properties of the Fourier coefficients of the eighth-order mock theta function. AIMS Mathematics, 2026, 11(5): 13818-13836. https://doi.org/10.3934/math.2026569

162

Views

2

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 17 March 2026
Revised: 07 May 2026
Accepted: 11 May 2026
Published: 15 May 2026
©2026 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)