Fourier Coefficients Of Some Cusp Forms

Abstract

The possible values of the nth Fourier coefficients a(n) of some cusp forms f(z) of weight k => 12 are studied in this article. In particular, the values of the tau function are investigated in some details, and proved that tau(p) =! 0 for all primes p => p_0.

Twenty Two Pages. Keywords: Fourier Coefficients, Modular forms, Cusp forms, Tau functions, Lehmer conjecture. Corrections to Theorems 1.2 and 8.1

References in corpus (2)

• On the computation of Galois representations associated to level one modular forms
• Rankin-Cohen Brackets and van der Pol-Type Identities for the Ramanujan's Tau Function