ON THE VANISHING OF FOURIER COEFFICIENTS OF CERTAIN GENUS ZERO NEWFORMS
ON THE VANISHING OF FOURIER COEFFICIENTS OF CERTAIN GENUS ZERO NEWFORMS
Given a classical modular form f(z), a basic question is whether any of its Fourier coefficients vanish. This question remains open for certain modular forms. For example, let Δ(z) = ΣΓ(n)q n ∈ S 12 (Γ 0 (1)). A well-known conjecture of Lehmer asserts that τ(n) ≠ 0 for all …