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COMBINATORICS OF THIRD ORDER MOCK THETA FUNCTION f(q) AND SIXTH ORDER MOCK THETA FUNCTIONS ɸ(q), ψ(q).
- Source :
-
Journal of Ramanujan Society of Mathematics & Mathematical Sciences . 2019, Vol. 7 Issue 1, p31-36. 6p. - Publication Year :
- 2019
-
Abstract
- The third order mock theta function f(q) is the generating function for the number of partitions with even rank minus the number of partitions with odd rank. In this paper, mock theta function f(q) is interpreted in terms of n{color partitions which lead to a combinatorial proof of the above fact. The two sixth order mock theta functions ɸ(q), ψ(q) from Ramanujan's Lost Notebook are also interpreted in terms of n{color partitions by attaching weights. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23191023
- Volume :
- 7
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Ramanujan Society of Mathematics & Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 141837377