arXiv:1004.4304 Abstract | arXiv Analytics

arXiv:1004.4304 [math.NT]Abstract References Reviews Resources

Special L-values of Drinfeld modules

Published 2010-04-24, updated 2011-03-31Version 4

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.

Comments: to appear in Annals of Mathematics

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

DOI: 10.4007/annals.2012.175.1.10

Categories: math.NT

Subjects: 11R58, 11G09

Keywords: drinfeld module, special l-values, class number formula, characteristic-p-valued function field analogues, swinnerton-dyer conjecture

Tags: journal article

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