A Rademacher-type exact formula for partitions without sequences

Published 3 Apr 2023 in math.NT and math.CO | (2304.01377v2)

Abstract: In this paper we prove an exact formula for the number of partitions without sequences. By work of Andrews, the corresponding generating function is a product of a modular form and a mock theta function, giving an overall weight of 0. The proof requires evaluating and bounding Kloosterman sums and the Circle Method

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