On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ) > 0 for s > 0 and for real characters χ

S. Louboutin. "On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ) > 0 for s > 0 and for real characters χ." Colloquium Mathematicae 130.1 (2013): 79-90. <http://eudml.org/doc/284089>.

@article{S2013,
abstract = {We give explicit constants κ such that if χ is a real non-principal Dirichlet character for which L(1,χ) ≤ κ, then Chowla's hypothesis is not satisfied and we cannot use Chowla's method for proving that L(s,χ) > 0 for s > 0. These constants are larger than the previous ones κ = 1- log 2 = 0.306... and κ = 0.367... we obtained elsewhere.},
author = {S. Louboutin},
journal = {Colloquium Mathematicae},
keywords = {-function; real character; mean values; real zero; Fekete polynomial},
language = {eng},
number = {1},
pages = {79-90},
title = {On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ) > 0 for s > 0 and for real characters χ},
url = {http://eudml.org/doc/284089},
volume = {130},
year = {2013},
}

TY - JOUR
AU - S. Louboutin
TI - On the size of L(1,χ) and S. Chowla's hypothesis implying that L(1,χ) > 0 for s > 0 and for real characters χ
JO - Colloquium Mathematicae
PY - 2013
VL - 130
IS - 1
SP - 79
EP - 90
AB - We give explicit constants κ such that if χ is a real non-principal Dirichlet character for which L(1,χ) ≤ κ, then Chowla's hypothesis is not satisfied and we cannot use Chowla's method for proving that L(s,χ) > 0 for s > 0. These constants are larger than the previous ones κ = 1- log 2 = 0.306... and κ = 0.367... we obtained elsewhere.
LA - eng
KW - -function; real character; mean values; real zero; Fekete polynomial
UR - http://eudml.org/doc/284089
ER -