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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Brietzke, Eduardo H. M.¹  da Silva, Robson²  Sellers, James A.³ 

[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

关键词: Partition;    Congruences;    Mock theta function;   

DOI  :  10.1016/j.jmaa.2019.06.016

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free