Taelman L-values for Drinfeld modules over Tate algebras

  • Oğuz GezmişEmail author


In the present paper, we investigate 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.


Drinfeld modules Tate algebras Pellarin L-series Taelman L-values 

Mathematics Subject Classification

Primary 11M38 Secondary 11G09 11R58 



The author is thankful to Matthew A. Papanikolas for useful suggestions and fruitful discussions. The author also thanks referees for careful reading and ideas on presenting results in a clear way.


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Authors and Affiliations

  1. 1.Department of MathematicsTexas A&M UniversityCollege StationUSA

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