Analytic proof of the partition identity A 5,3,3(n)=B 5,3,3 0 (n)

Padmavathamma and Chandrashekara, B. M. and Raghavendra, R. and Krattenthaler, C. (2008) Analytic proof of the partition identity A 5,3,3(n)=B 5,3,3 0 (n). The Ramanujan Journal, 15 (1). pp. 77-86. ISSN 1572-9303

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Official URL: https://doi.org/10.1007/s11139-007-9067-z

Abstract

In this paper we give an analytic proof of the identity A 5,3,3(n)=B 5,3,3 0 (n), where A 5,3,3(n) counts the number of partitions of n subject to certain restrictions on their parts, and B 5,3,3 0 (n) counts the number of partitions of n subject to certain other restrictions on their parts, both too long to be stated in the abstract. Our proof establishes actually a refinement of that partition identity. The original identity was first discovered by the first author jointly with M. Ruby Salestina and S.R. Sudarshan in [Proceedings of the International Conference on Analytic Number Theory with Special Emphasis on L-functions, Ramanujan Math. Soc., Mysore, 2005, pp. 57–70], where it was also given a combinatorial proof, thus answering a question of Andrews.

Item Type: Article
Subjects: E Mathematical Science > Mathematics
Divisions: Department of > Mathematics
Depositing User: manjula User
Date Deposited: 27 Aug 2019 06:21
Last Modified: 27 Aug 2019 06:21
URI: http://eprints.uni-mysore.ac.in/id/eprint/7110

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