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arxiv: 1712.05660 · v1 · pith:F5W4MX3Rnew · submitted 2017-12-15 · 🧮 math.NT

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

classification 🧮 math.NT
keywords half-integralheckeweightattachedeigenformformsfunctionsgamma
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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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