Algebraicity of Artin--Hasse--Weil L-series over global function fields

David Kurniadi Angdinata

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arXiv · 2410.05196

Algebraicity of Artin--Hasse--Weil L-series over global function fields

David Kurniadi Angdinata

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Abstract

We prove an analogue of Deligne's period conjecture for the special value of the L-function of an abelian variety over a global function field twisted by an Artin representation. We illustrate this in action for an example of an elliptic curve twisted by a Dirichlet character.

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David Kurniadi Angdinata. 2024-10-07. Algebraicity of Artin--Hasse--Weil L-series over global function fields. https://arxiv.org/abs/2410.05196

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