Non-vanishing Fourier coefficients of Δk

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摘要

Let Δk be the unique normalized cusp form of level one and weight k with . In this paper, we describe a method to achieve the explicit bounds Bk of n such that the Fourier coefficients an(Δk) ≠ 0 for all n < Bk.

论文关键词：Modular forms,Fourier coefficients,Modular Galois representations,Lehmer’s conjecture for Ramanujan’s Tau function

论文评审过程：Received 4 May 2018, Revised 27 June 2018, Accepted 9 July 2018, Available online 15 August 2018, Version of Record 15 August 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.07.022