Computational Number Theory in Relation with L-Functions

Henri Cohen 1, 2
1 LFANT - Lithe and fast algorithmic number theory
IMB - Institut de Mathématiques de Bordeaux, Inria Bordeaux - Sud-Ouest
Abstract : We give a number of theoretical and practical methods related to the computation of L-functions, both in the local case (counting points on varieties over finite fields, involving in particular a detailed study of Gauss and Jacobi sums), and in the global case (for instance Dirichlet L-functions, involving in particular the study of inverse Mellin transforms); we also give a number of little-known but very useful numerical methods, usually but not always related to the computation of L-functions.
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  • HAL Id : hal-01883052, version 1
  • ARXIV : 1809.10904

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Henri Cohen. Computational Number Theory in Relation with L-Functions. Engin Büyükaik; Ilker Inam. Notes from the International School on Computational Number Theory; Izmir Institute of Technology 2017, Springer Birkhäuser, In press. ⟨hal-01883052⟩

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