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On the efficient computation of Fourier coefficients of eta-quotients

On the efficient computation of Fourier coefficients of eta-quotients

来源:Arxiv_logoArxiv
英文摘要

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.

Adrian Barquero-Sanchez、Juan Pablo De Rasis、Nicolás Sirolli、Jean Carlos Villegas-Morales

数学

Adrian Barquero-Sanchez,Juan Pablo De Rasis,Nicolás Sirolli,Jean Carlos Villegas-Morales.On the efficient computation of Fourier coefficients of eta-quotients[EB/OL].(2025-04-02)[2025-05-29].https://arxiv.org/abs/2504.01384.点此复制

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