Non-vanishing Fourier coefficients of Δk

Peng Tian and Hourong Qin

Applied Mathematics and Computation, 2018, vol. 339, issue C, 507-515

Abstract: Let Δk be the unique normalized cusp form of level one and weight k with k=16,18,20,22,26. 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.

Keywords: Modular forms; Fourier coefficients; Modular Galois representations; Lehmer’s conjecture for Ramanujan’s Tau function (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:339:y:2018:i:c:p:507-515

DOI: 10.1016/j.amc.2018.07.022

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