International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 21, Pages 1097-1104

1974 conjecture of Andrews on partitions

Padmavathamma and M. R. Salestina

Department of Studies in Mathematics, University of Mysore, Manasagangotri 570 006, Mysore, India

Received 13 June 2002

Copyright © 2004 Padmavathamma and M. R. Salestina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The case k=a of the 1974 conjecture of Andrews on two partition functions Aλ,k,a(n) and Bλ,k,a(n) was proved by the first author and Sudha (1993) and the case k=a+1 was established by the authors (2000). In this paper, we prove that the conjecture is false and give a revised conjecture for a particular case when λ is even.