Explicit Upper Bounds for ∣L(1,χ)∣|L(1, χ)| when χ(3)=0χ(3)=0

preprint2013arXivOpen access

Abstract

Let χχ be a primitive Dirichlet character of conductor qq and L(z,χ)L(z,χ) the associated L-series. In this paper we provide an explicit upper bound for ∣L(1,χ)∣|L(1, χ)| when 3 divides qq.

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