Congruences for the coefficients of the Gordon and McIntosh mock theta function xi(q)

da Silva, Robson; Sellers, James A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Congruences for the coefficients of the Gordon and McIntosh mock theta function xi(q)

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Author(s):	da Silva, Robson ^[1] ; Sellers, James A. ^[2] Total Authors: 2
Affiliation:	^[1] Univ Fed Sao Paulo, Av Cesare MG Lattes 1201, BR-12247014 Sao Jose Dos Campos, SP - Brazil ^[2] Univ Minnesota, Dept Math & Stat, Duluth, MN 55812 - USA Total Affiliations: 2
Document type:	Journal article
Source:	RAMANUJAN JOURNAL; AUG 2021.
Web of Science Citations:	0
Abstract
Recently Gordon and McIntosh introduced the third order mock theta function xi(q) defined by xi(q) = 1 + 2 Sigma(infinity)(n=1) q(6n2-6n+1)/(q; q(6))(n)(q(5); q(6))(n). Our goal in this paper is to study arithmetic properties of the coefficients of this function. We present a number of such properties, including several infinite families of Ramanujan-like congruences. (AU)

FAPESP's process:	19/14796-8 - Arithmetic properties of partition functions
Grantee:	Robson Oliveira da Silva
Support Opportunities:	Regular Research Grants

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