Analytic proof of the partition identity $A_{5,3,3}(n) = B^0_{5,3,3}(n)$
| dc.creator | Padmavathamma | |
| dc.creator | Chandrashekara, B. M. | |
| dc.creator | Raghavendra, R. | |
| dc.creator | Krattenthaler, C. | |
| dc.date | 2004-03-07 | |
| dc.date.accessioned | 2026-07-07T09:19:59Z | |
| dc.date.available | 2026-07-07T09:19:59Z | |
| dc.description | In this paper we give an analytic proof of the identity $A_{5,3,3}(n) =B^0_{5,3,3}(n)$, where $A_{5,3,3}(n)$ counts the number of partitions of $n$ subject to certain restrictions on their parts, and $B^0_{5,3,3}(n)$ 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 ["A new theorem on partitions," Proc. Int. Conference on Special Functions, IMSC, Chennai, India, September 23-27, 2002; to appear], where it was also given a combinatorial proof, thus responding a question of Andrews. | |
| dc.description | AmS-LaTeX; 9 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403121 | |
| dc.identifier | http://arxiv.org/abs/math/0403121 | |
| dc.identifier | Ramanujan J. 15 (2008), 77-86. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154590 | |
| dc.subject | Combinatorics | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Primary 05A15; Secondary 05A17, 05A19, 11P81, 11P82, 11P83 | |
| dc.title | Analytic proof of the partition identity $A_{5,3,3}(n) = B^0_{5,3,3}(n)$ | |
| dc.type | text |