Hervé Jacquet is a French American mathematician, working in automorphic forms.
Jacquet entered the École Normale Supérieure in 1959 and obtained his doctorat d'état under the direction of Roger Godement in 1967.
It presented a representation theory of automorphic forms and their associated L−functions for the general linear group
Equally important was the book by Godement and Jacquet,[2] which defined, for the first time, the standard L-functions attached to automorphic representations of
A basic ingredient of this effort was an elaboration of properties of Whittaker models and functions, which Jacquet had made contributions to since his thesis.
The papers with Shalika also established the uniqueness of isobaric decompositions of automorphic forms on
In the mid-1980s, Jacquet forayed into a new territory in the field and created[8][9][10] the relative trace formula in representation theory, an important tool in modern number theory, which vastly generalizes the Kuznetsov and Petersson formulae from the classical setup.