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On Hecke $L$-functions attached to half-integral weight modular forms

Published 15 Dec 2017 in math.NT | (1712.05660v1)

Abstract: We investigate non-vanishing properties of $L(f,s)$ on the real line, when $f$ is a Hecke eigenform of half-integral weight $k+{1\over 2}$ on $\Gamma_0(4).$

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