Congruences related to an eighth order mock theta function of Gordon and McIntosh

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Author(s):	Brietzke, Eduardo H. M. ^[1] ; da Silva, Robson ^[2] ; Sellers, James A. ^[3] Total Authors: 3
Affiliation:	^[1] Univ Fed Rio Grande do Sul, Dept Matemat, CP 15080, BR-91509900 Porto Alegre, RS - Brazil ^[2] Univ Fed Sao Paulo, Av Cesare MG Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP - Brazil ^[3] Penn State Univ, Dept Math, 104 McAllister Bldg, University Pk, PA 16802 - USA Total Affiliations: 3
Document type:	Journal article
Source:	Journal of Mathematical Analysis and Applications; v. 479, n. 1, p. 62-89, NOV 1 2019.
Web of Science Citations:	0
Abstract
In this paper, we study arithmetic properties of a partition function related to an eighth order mock theta function of Gordon and McIntosh. Via elementary generating function manipulations, a complete characterization of the parity of this function is presented, from which infinitely many Ramanujan-like congruences modulo 2 are obtained. In addition, many congruences modulo certain numbers of the form 2(alpha)3(beta)5 are presented. (C) 2019 Elsevier Inc. All rights reserved. (AU)

FAPESP's process:	16/14057-2 - Additive number theory in the integers and in function fields
Grantee:	Robson Oliveira da Silva
Support Opportunities:	Scholarships abroad - Research