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Congruence properties of coefficients of the eighth-order mock theta function $$V_0(q)$$
- 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.
- Subjects :
- Partition function (quantum field theory)
Algebra and Number Theory
Mathematics::Number Theory
Modulo
010102 general mathematics
Theta function
0102 computer and information sciences
Divisibility rule
Congruence relation
01 natural sciences
Ramanujan's sum
Combinatorics
symbols.namesake
010201 computation theory & mathematics
symbols
Partition (number theory)
Order (group theory)
0101 mathematics
Mathematics
Subjects
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