Adiga, Chandrashekar and Bulkhali, N. A. S. and Ranganatha, D. and Srivastava, H. M. (2016) Some new modular relations for the Rogers–Ramanujan type functions of order eleven with applications to partitions. Journal of Number Theory, 158. 281 - 297.
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Official URL: https://doi.org/10.1016/j.jnt.2015.06.019
Abstract
In this paper, we establish several modular relations for the Rogers–Ramanujan type functions of order eleven which are analogous to Ramanujan's forty identities for Rogers–Ramanujan functions. Furthermore, we give interesting partition-theoretic interpretation of some of the modular relations which are derived in this paper.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Rogers–Ramanujan functions, Modular relations, Theta functions, Jacobi's triple-product identity, Basic (or -) identities, Partitions |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Manjula P Library Assistant |
| Date Deposited: | 26 Jun 2019 10:38 |
| Last Modified: | 08 Jul 2022 09:57 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/3896 |
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