An Identity for the Partition Function Involving Parts of k Different Magnitudes

Published 14 Jun 2018 in math.NT | (1806.05416v2)

Abstract: Using previous work by Merca, we show the partition function involving parts of k different magnitudes, shifted by the triangular numbers, equals the self convolution of the unrestricted partition function. We also provide a combinatorial proof of this result.

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Authors (1)

Saud Hussein

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