On the mean value of $|L(1, \chi )|^2$ for odd primitive Dirichlet characters

Louboutin, Stéphane

Proc. Japan Acad. Ser. A Math. Sci., Tome 75 (1999) no. 10, p. 143-145 / Harvested from Project Euclid

Résumé

Let $f>1$ be given. Whereas a simple formula for the mean value of $|L(1, \chi)|^2$ for odd Dirichlet characters modulo $f$ is known, we explain why there is no hope of ever finding a simple formula for the mean value of $|L(1, \chi)|^2$ for primitive odd Dirichlet characters modulo $f$.

Publié le : 1999-09-14
Classification: Dirichlet characters, $L$-functions, 11M20

@article{1148393870,
     author = {Louboutin, St\'ephane},
     title = {On the mean value of $|L(1, \chi )|^2$ for odd primitive Dirichlet characters},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {75},
     number = {10},
     year = {1999},
     pages = { 143-145},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393870}
}

Louboutin, Stéphane. On the mean value of $|L(1, \chi )|^2$ for odd primitive Dirichlet characters. Proc. Japan Acad. Ser. A Math. Sci., Tome 75 (1999) no. 10, pp.  143-145. http://gdmltest.u-ga.fr/item/1148393870/