Journal Articles Annales Mathématiques Blaise Pascal Year : 2009

A purely analytical lower bound for $L(1, \chi)$

Abstract

We give a simple proof of $L(1, \chi) \sqrt{q}\gg 2^{\omega(q)}$ when $\chi$ is an odd primitive quadratic Dirichlet character of conductor $q$. In particular we do not use the Dirichlet class-number formula.
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Dates and versions

hal-02572760 , version 1 (13-05-2020)

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Olivier Ramaré. A purely analytical lower bound for $L(1, \chi)$. Annales Mathématiques Blaise Pascal, 2009, 16 (2), pp.259-265. ⟨10.5802/ambp.265⟩. ⟨hal-02572760⟩
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