Showing a limited preview of this publication:
Abstract
We discuss a new restricted m-ary overpartition function 
, which is the number of hyper m-ary overpartitions of n, such that each power of m is allowed to be used at most m times as a non-overlined part. In this note we use generating function dissections to prove the following family of congruences for all n ≥ 0, m ≥ 4, j ≥ 0, 3 ≤ k ≤ m – 1, and t ≥ 1:
Keywords.: Overpartition; congruence
Received: 2008-12-02
Revised: 2009-10-27
Accepted: 2009-10-30
Published Online: 2010-03-19
Published in Print: 2010-March
© de Gruyter 2010
