A purely analytical lower bound for L(1,χ)
Ramaré, Olivier
Annales mathématiques Blaise Pascal, Tome 16 (2009), p. 259-265 / Harvested from Numdam
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Nous donnons une preuve simple de l’inégalité L(1,χ)q≫2 ω(q) lorsque χ est un caractère quadratique primitif impair. En particulier, nous n’utilisons pas la formule de Dirichlet liant L(1,χ) et e nombre de classes.

We give a simple proof of L(1,χ)q≫2 ω(q) when χ is an odd primitiv quadratic Dirichlet character of conductor q. In particular we do not use the Dirichlet class-number formula.

Publié le : 2009-01-01
DOI : https://doi.org/10.5802/ambp.265
Classification:  11N05 
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     author = {Ramar\'e, Olivier},
     title = {A purely analytical lower bound for $L(1,\chi )$},
     journal = {Annales math\'ematiques Blaise Pascal},
     volume = {16},
     year = {2009},
     pages = {259-265},
     doi = {10.5802/ambp.265},
     zbl = {pre05629439},
     mrnumber = {2568864},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AMBP_2009__16_2_259_0}
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Ramaré, Olivier. A purely analytical lower bound for $L(1,\chi )$. Annales mathématiques Blaise Pascal, Tome 16 (2009) pp. 259-265. doi : 10.5802/ambp.265. http://gdmltest.u-ga.fr/item/AMBP_2009__16_2_259_0/

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