English

Special L-values of Drinfeld modules

Number Theory 2011-12-09 v4

Abstract

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.

Keywords

Cite

@article{arxiv.1004.4304,
  title  = {Special L-values of Drinfeld modules},
  author = {Lenny Taelman},
  journal= {arXiv preprint arXiv:1004.4304},
  year   = {2011}
}

Comments

to appear in Annals of Mathematics

R2 v1 2026-06-21T15:14:24.786Z