TY - JOUR
T1 - On m-ary overpartitions
AU - Rødseth, Øystein J.
AU - Sellers, James Allen
PY - 2005/10/1
Y1 - 2005/10/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00026-005-0262-6
DO - 10.1007/s00026-005-0262-6
M3 - Article
AN - SCOPUS:26044448559
SN - 0218-0006
VL - 9
SP - 345
EP - 353
JO - Annals of Combinatorics
JF - Annals of Combinatorics
IS - 3
ER -