Back to Search Start Over

Congruence properties of coefficients of the eighth-order mock theta function $$V_0(q)$$

Authors :
B. Hemanthkumar
Source :
The Ramanujan Journal. 57:189-213
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

We study the divisibility properties of the partition function associated with the eighth-order mock theta function $$V_0(q)$$ , introduced by Gordon and McIntosh. We obtain congruences modulo powers of 2 for certain coefficients of the partition function, akin to Ramanujan’s partition congruences. Further, we also present several infinite families of congruences modulo 13, 25, and 27.

Details

ISSN :
15729303 and 13824090
Volume :
57
Database :
OpenAIRE
Journal :
The Ramanujan Journal
Accession number :
edsair.doi...........302a320c0a2401f825947a53158f1011
Full Text :
https://doi.org/10.1007/s11139-020-00342-2