Sommes de Dedekind associées à un corps de nombres totalement réel
Charollois, Pierre
HAL, hal-00137564 / Harvested from HAL
We define Dedekind sums attached to a totally real number field of class number one. We prove that they satisfy some reciprocity law. Then we relate them to special values of Hecke $L$-functions. We conclude that they are ruled by Stark's conjecture.
Publié le : 2004-07-05
Classification:  [MATH.MATH-NT]Mathematics [math]/Number Theory [math.NT]
@article{hal-00137564,
     author = {Charollois, Pierre},
     title = {Sommes de Dedekind associ\'ees \`a un corps de nombres totalement r\'eel},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00137564}
}
Charollois, Pierre. Sommes de Dedekind associées à un corps de nombres totalement réel. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00137564/