Asymptotics for the Fourier coefficients of eta-quotients

JOURNAL OF NUMBER THEORY

卷:199

Article

Chern, Shane¹ 

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

关键词: Eta-quotients;    Asymptotics;    Circle method;   

DOI  :  10.1016/j.jnt.2018.11.008

来源: Elsevier

【 摘 要 】

We study the asymptotics for the Fourier coefficients of a broad class of eta-quotients, Pi(R)(r=1)(Pi(k >= 1)(1-q(m, k)))(delta r), where m(1), ... , m(R) are R distinct positive integers and delta(1), ... , delta(R) are R non-zero integers with Sigma(R)(r=1) delta r >= 0. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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