Special L-values of Drinfeld modules

Details Special L-values of Drinfeld modules Special L-values of Drinfeld modules

2010-04-24

arxiv.org/abs/1004.4304v4

Ann. of Math. 175 (2012), 369--391

Mathematics

Number Theory

to appear in Annals of Mathematics

Scientific paper

10.4007/annals.2012.175.1.10

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.

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