On m-Ary Overpartitions |
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| Authors: | Øystein J Rødseth James A Sellers |
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| Institution: | (1) Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N–5008 Bergen, Norway;(2) Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA |
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| Abstract: | Presently there are a lot of activities in the study of overpartitions, objects that were discussed by MacMahon, and which
have recently proven useful in several combinatorial studies of basic hypergeometric series. In this paper we study some similar
objects, which we name m-ary overpartitions. We consider divisibility properties of the number of m-ary overpartitions of a natural number, and we prove a theorem which is a lifting to general m of the well-known Churchhouse congruences for the binary partition function.
Received October 11, 2004 |
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| Keywords: | 05A17 11P83 |
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