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

Eduardo H.M. Brietzke; Robson da Silva; James A. Sellers

doi:10.1016/j.jmaa.2019.06.016

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

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

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11 Scopus citations

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^α3^β5 are presented.

Original language	English (US)
Pages (from-to)	62-89
Number of pages	28
Journal	Journal of Mathematical Analysis and Applications
Volume	479
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2019.06.016
State	Published - Nov 1 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

Keywords

Congruences
Mock theta function
Partition

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KW - Partition

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

Abstract

Bibliographical note

Keywords

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