Taelman L-Values for Drinfeld Modules over Tate Algebras

2018/07/04 by Gezmiş, Oğuz
#11G09 #11M38 (Primary) #11R58 (Secondary) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1807.01734

Abstract

In the present paper, we analyze Taelman L-values corresponding to Drinfeld modules over Tate algebras of arbitrary rank. Using our results, we also introduce an L-series converging in Tate algebras which can be seen as a generalization of Pellarin L-series.

Related

• Convolutions of Goss and Pellarin L-series
• Tensor products of Drinfeld modules and convolutions of Goss L-series
• The Sato-Tate law for Drinfeld modules
• Shtuka cohomology and special values of Goss L-functions
• Mellin transform formulas for Drinfeld modules