On some new Bailey pairs and new expansions for some mock theta functions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2016Embargo end date: 01 Jan 2015 English Publisher:International Press of BostonJournal:Methods and Applications of Analysis, volume 23, pages 205-214 (issn: 1073-2772, eissn: 1945-0001,

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Authors: Patkowski, Alexander E;

doi: 10.4310/maa.2016.v23.n2.a4 , 10.48550/arxiv.1502.02470

arXiv: 1502.02470

On some new Bailey pairs and new expansions for some mock theta functions

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Abstract

In this paper we offer some new identities associated with mock theta functions and establish new Bailey pairs related to indefinite quadratic forms. We believe our proof is instructive use of changing base of Bailey pairs, and offers new information on some Bailey pairs that have proven important in the study of Mock theta functions.

Keywords

Mathematics - Number Theory, FOS: Mathematics, Number Theory (math.NT)

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