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Some Congruences for Partitions that are p-Cores

✍ Scribed by Garvan, F. G.

Book ID
120101921
Publisher
Oxford University Press
Year
1993
Tongue
English
Weight
547 KB
Volume
s3-66
Category
Article
ISSN
0024-6115

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πŸ“œ SIMILAR VOLUMES

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✍ Louis Worthy Kolitsch πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 144 KB

In this paper we present a very simple analytic proof of some congruences for generalized Frobenius partitions with k colors. The proof highlights yet another combinatorial property of these objects.

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✍ P. Guerzhoy πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 102 KB

Problem 7.30], prove a general result for powers of an arbitrary prime, and provide an explanation for the appearance of higher congruence moduli for certain small primes. One of our results overlaps but does not coincide with a recent result of Jenkins [Paul Jenkins, p-Adic properties for traces of