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A relationship between certain colored generalized Frobenius partitions and ordinary partitions

✍ Scribed by Louis Worthy Kolitsch

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
162 KB
Volume
33
Category
Article
ISSN
0022-314X

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πŸ“œ SIMILAR VOLUMES

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In this paper an alternative method of sorting M-order, colored generalized Frobenius partitions is presented. As a consequence of this new method of sorting we are able to prove identities relating colored, generalized Frobenius partitions with 2 and 10 colors and those with 3 and 9 colors.

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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.