Section: New Results

L-functions

Participant : Henri Cohen.

In [29], H. Cohen gives an overview of Computational Number Theory in Relation with 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). He also gives a number of little-known but very useful numerical methods, usually but not always related to the computation of L-functions.