Computational Number Theory in Relation with L-Functions
Number Theory
2018-10-01 v1
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.
Cite
@article{arxiv.1809.10904,
title = {Computational Number Theory in Relation with L-Functions},
author = {Henri Cohen},
journal= {arXiv preprint arXiv:1809.10904},
year = {2018}
}