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

Autor(es)

Brietzke, Eduardo H. M. ^[1] ; da Silva, Robson ^[2] ; Sellers, James A. ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: Journal of Mathematical Analysis and Applications; v. 479, n. 1, p. 62-89, NOV 1 2019.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 16/14057-2 - Teoria aditiva dos números nos inteiros e em corpos de funções
• Beneficiário: Robson Oliveira da Silva
• Modalidade de apoio: Bolsas no Exterior - Pesquisa