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. "Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s > 0 and real characters χ." Colloquium Mathematicae 96.2 (2003): 207-212. <http://eudml.org/doc/285001>.

@article{StéphaneR2003,
abstract = {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.},
author = {Stéphane R. Louboutin},
journal = {Colloquium Mathematicae},
keywords = {-series; real zeros},
language = {eng},
number = {2},
pages = {207-212},
title = {Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s > 0 and real characters χ},
url = {http://eudml.org/doc/285001},
volume = {96},
year = {2003},
}

TY - JOUR
AU - Stéphane R. Louboutin
TI - Note on a hypothesis implying the non-vanishing of Dirichlet L-series L(s,χ) for s > 0 and real characters χ
JO - Colloquium Mathematicae
PY - 2003
VL - 96
IS - 2
SP - 207
EP - 212
AB - 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.
LA - eng
KW - -series; real zeros
UR - http://eudml.org/doc/285001
ER -