Special $L$-values of Drinfeld modules


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.


Lenny Taelman

Mathematical Institute, University of Leiden, P.O. Box 9512, 2300 RA Leiden, The Netherlands