Non-vanishing and sign changes of Hecke eigenvalues for half-integral weight cusp forms
نویسندگان
چکیده
In this paper, we consider three problems about signs of the Fourier coefficients of a cusp form f with half-integral weight: – The first negative coefficient of the sequence {af(tn)}n∈N, – The number of coefficients af(tn ) of same signs, – Non-vanishing of coefficients af(tn ) in short intervals and in arithmetic progressions, where af(n) is the n-th Fourier coefficient of f and t is a square-free integer such that af(t) 6= 0.
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تاریخ انتشار 2017