Padmavathamma, B. M. Chandrashekara, R. Raghavendra and
Christian Krattenthaler
Analytic proof of the partition identity
A5,3,3(n) =
B05,3,3(n)
(9 pages)
Abstract.
In this paper we give an analytic proof
of the identity A5,3,3(n) =
B05,3,3(n),
where A5,3,3(n)
counts the number of partitions of n subject to
certain restrictions on their parts,
and B05,3,3(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.
The following versions are available:
Back to Christian Krattenthaler's
home page.