Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s > 0 and real characters χ
Stéphane R. Louboutin
Colloquium Mathematicae, Tome 96 (2003), p. 207-212 / Harvested from The Polish Digital Mathematics Library
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We prove that if χ is a real non-principal Dirichlet character for which L(1,χ) ≤ 1- log2, then Chowla's hypothesis is not satisfied and we cannot use Chowla's method for proving that L(s,χ) > 0 for s > 0.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285001 
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     year = {2003},
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Stéphane R. Louboutin. Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s > 0 and real characters χ. Colloquium Mathematicae, Tome 96 (2003) pp. 207-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm96-2-5/