Distribution of values of \(L(1,\chi)\) et de \(L'(1,\chi)\) (Q1249601)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Distribution of values of \(L(1,\chi)\) et de \(L'(1,\chi)\) |
scientific article; zbMATH DE number 3600122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distribution of values of \(L(1,\chi)\) et de \(L'(1,\chi)\) |
scientific article; zbMATH DE number 3600122 |
Statements
Distribution of values of \(L(1,\chi)\) et de \(L'(1,\chi)\) (English)
0 references
1979
0 references
On étudie sommairement la distribution des valeurs de \(L'(1,\chi)\) \((\chi\): caractère de Dirichlet primitif réel) et on constate qu'on a en général \(L'(1,\chi)< \pi^2/6\); on démontre par ailleurs que si \(L'(1,\chi)<(\pi^2/6) - \varepsilon\), alors \(L(1,\chi) > c(\varepsilon)/\log k\) \((k\): conducteur de \(\chi\); \(c(\varepsilon)\): constante positive effectivement calculable.
0 references
distribution of values
0 references
L-function
0 references
real primitive residue character
0 references
0 references
0 references
