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

Eduardo H.M. Brietzke, Robson da Silva, James Allen Sellers

Research output: Contribution to journalArticle

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 2α3β5 are presented.

Original languageEnglish (US)
Pages (from-to)62-89
Number of pages28
JournalJournal of Mathematical Analysis and Applications
Volume479
Issue number1
DOIs
StatePublished - Nov 1 2019

Fingerprint

Mock theta Functions
Congruence
Modulo
Elementary Functions
Ramanujan
Partition Function
Parity
Generating Function
Manipulation
Form

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Brietzke, Eduardo H.M. ; da Silva, Robson ; Sellers, James Allen. / Congruences related to an eighth order mock theta function of Gordon and McIntosh. In: Journal of Mathematical Analysis and Applications. 2019 ; Vol. 479, No. 1. pp. 62-89.
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Congruences related to an eighth order mock theta function of Gordon and McIntosh. / Brietzke, Eduardo H.M.; da Silva, Robson; Sellers, James Allen.

In: Journal of Mathematical Analysis and Applications, Vol. 479, No. 1, 01.11.2019, p. 62-89.

Research output: Contribution to journalArticle

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