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math.QA2010
Conformal designs and D.H. Lehmer's conjecture
Tsuyoshi Miezaki
In 1947, Lehmer conjectured that the Ramanujan τ-function τ(m) is non-vanishing for all positive integers m, where τ(m) are the Fourier coefficients of the cusp form Δof weight 12.…
math.NT2010
Toy models for D. H. Lehmer's conjecture II
Eiichi Bannai, Tsuyoshi Miezaki
In the previous paper, we studied the "Toy models for D. H. Lehmer's conjecture". Namely, we showed that the m-th Fourier coefficient of the weighted theta series of the $\mathbb{Z…
math.CO2010★ 5 cited
An elementary approach to toy models for D. H. Lehmer's conjecture
Eiichi Bannai, Tsuyoshi Miezaki, Vladimir A. Yudin
In 1947, Lehmer conjectured that the Ramanujan's tau function never vanishes for all positive integers , where is the -th Fourier coefficient of the cusp form $…