Abstract
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.
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Acknowledgement
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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This project was partially supported by NSF Grant DMS-1501362.
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Gezmiş, O. Taelman L-values for Drinfeld modules over Tate algebras. Res Math Sci 6, 18 (2019). https://doi.org/10.1007/s40687-019-0181-5
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DOI: https://doi.org/10.1007/s40687-019-0181-5