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On the efficient computation of Fourier coefficients of eta-quotients

Published 2 Apr 2025 in math.NT | (2504.01384v1)

Abstract: We give formulas for computing efficiently the generalized Kloosterman sums appearing in the Hardy-Ramanujan-Rademacher expansions of the Fourier coefficients of general eta-quotients given by Sussman and Chern, as well as explicit bounds for the tails of these series.

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