Shtuka cohomology and special values of Goss L-functions

2018/08/02 by Mornev, M.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1808.00839

Abstract

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings. In order to prove this formula we develop a theory of shtukas and their cohomology.

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• On the transcendence of special values of Goss L-functions attached to\n Drinfeld modules