Special $L$-values of Drinfeld modules
Annals of mathematics, Tome 175 (2012) no. 1, pp. 369-391.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We state and prove a formula for a certain value of the Goss $L$-function of a Drinfeld module. This gives characteristic-$p$-valued function field analogues of the class number formula and of the Birch and Swinnerton-Dyer conjecture. The formula and its proof are presented in an entirely self-contained fashion.
DOI : 10.4007/annals.2012.175.1.10

Lenny Taelman 1

1 Mathematical Institute, University of Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands
@article{10_4007_annals_2012_175_1_10,
     author = {Lenny Taelman},
     title = {Special $L$-values of {Drinfeld} modules},
     journal = {Annals of mathematics},
     pages = {369--391},
     publisher = {mathdoc},
     volume = {175},
     number = {1},
     year = {2012},
     doi = {10.4007/annals.2012.175.1.10},
     mrnumber = {2874646},
     zbl = {06014079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.1.10/}
}
TY  - JOUR
AU  - Lenny Taelman
TI  - Special $L$-values of Drinfeld modules
JO  - Annals of mathematics
PY  - 2012
SP  - 369
EP  - 391
VL  - 175
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.1.10/
DO  - 10.4007/annals.2012.175.1.10
LA  - en
ID  - 10_4007_annals_2012_175_1_10
ER  - 
%0 Journal Article
%A Lenny Taelman
%T Special $L$-values of Drinfeld modules
%J Annals of mathematics
%D 2012
%P 369-391
%V 175
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.1.10/
%R 10.4007/annals.2012.175.1.10
%G en
%F 10_4007_annals_2012_175_1_10
Lenny Taelman. Special $L$-values of Drinfeld modules. Annals of mathematics, Tome 175 (2012) no. 1, pp. 369-391. doi : 10.4007/annals.2012.175.1.10. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.1.10/

Cité par Sources :