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.
Document type :
Book sections
Complete list of metadatas

Cited literature [27 references]  Display  Hide  Download
Contributor : Aurel Page <>
Submitted on : Thursday, September 27, 2018 - 4:08:39 PM
Last modification on : Thursday, December 19, 2019 - 10:59:48 AM
Long-term archiving on: Friday, December 28, 2018 - 4:04:03 PM


Files produced by the author(s)




Henri Cohen. Computational Number Theory in Relation with L-Functions. Ilker Inam; Engin Büyükaşık. Notes from the International School on Computational Number Theory, Birkhäuser, pp.171-266, 2019, Tutorials, Schools, and Workshops in the Mathematical Sciences, ⟨10.1007/978-3-030-12558-5_3⟩. ⟨hal-01883052⟩



Record views


Files downloads