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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 1, Pages 27 - 31 (April 2006)

SOME IDENTITIES CONCERNING OVERPARTITIONS

Neville Robbins (U. S. A.)

Abstract:

Let n be a natural number. Then we develop some convolution-type identities concerning the number of overpartitions of n, the number of overpartitions of n into odd parts, and the number of overpartitions of n into parts not divisible by r, where the integer r exceeds 2.

Keywords and phrases:

overpartition.

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