A general double sum identity, mock theta functions, and Bailey pairs

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2021Embargo end date: 01 Jan 2020 English Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Acta Arithmetica, volume 198, pages 377-385 (issn: 0065-1036, eissn: 1730-6264,

Copyright policy )

Authors: Patkowski, Alexander E.;

doi: 10.4064/aa200427-9-11 , 10.48550/arxiv.2004.12044

arXiv: 2004.12044

A general double sum identity, mock theta functions, and Bailey pairs

- Summary
- Subjects
- Metrics

Abstract

We obtain some Bailey pairs associated with indefinite quadratic forms with the $β_n$ connected to a finite sum. A new general identity is given, which provides identities for $q$-hypergeometric series, including mock theta functions.

Keywords

Mathematics - Number Theory, Basic hypergeometric functions in one variable, ${}_r\phi_s$, FOS: Mathematics, Bailey pairs, $q$-series, mock theta functions, Number Theory (math.NT), Forms of half-integer weight; nonholomorphic modular forms

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Green

bronze

Fields of Science

Fields of Science