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 + Show 1 more

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https://doi.org/10.1016/j.jmaa.2019.06.016

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Journal: Journal of Mathematical Analysis and Applications	Publication Date: Jun 10, 2019
Citations: 9	License type: publisher-specific-oa

Affiliation: Universidade Federal do Rio Grande do Sul, Universidade Federal de São Paulo, Pennsylvania State University

#Congruences Modulo #Order Mock Theta Function + Show 7 more

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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.

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