A Proof of Merca's Conjectures on Sums of Odd Divisor Functions

Published 15 Jul 2021 in math.NT | (2107.07637v2)

Abstract: In a paper, Merca posed three conjectures on congruences for specific convolutions of a sum of odd divisor functions with a generating function for generalized $m$ -gonal numbers. Extending Merca's work, we complete the proof of these conjectures.

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