Vanishing coefficients in two families of quotients of theta functions
type: Item
instance of: scholarly article
title: Vanishing coefficients in two families of quotients of theta functions
author: Dazhao Tang
published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series
publication date: 2022-12-01T00:00:00Z
review text: \textit{B. Richmond} and \textit{G. Szekeres} [Acta Sci. Math. 40, 347--369 (1978; Zbl 0397.10046)] studied vanishing coefficients with arithmetic progressions in quotients of theta functions; since then several researchers have contributed in this area. Recently, \textit{J. Q. D. Du} and the author [``Vanishing coefficients in quotients of theta functions with odd moduli'', Preprint] found that certain aithmetic progressions on vanishing coefficients could be enjoyed by family of quotients of theta functions. In present article, author further prove total eight such results, which are presented in theorems \(1.1\) and \(1.3\); and also gave five related conjectures. All the results are explained properly with supporting arguments and interesting.
reviewed by: M. P. Chaudhary
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 30B10
zbMATH DE Number: 7625543
zbMATH Keywords: vanishing coefficients
zbMATH Keywords: theta functions
zbMATH Keywords: arithmetic progressions
MaRDI profile type: Publication
full work available at URL: s40840-022-01414-w
OpenAlex ID: W4310081573
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DOI: 10.1007/S40840-022-01414-W
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description: scientific article; zbMATH DE number 7625543