## L-functions, monoids and Bessel functions

Freydoon Shahidi

Purdue University

October 1, 2016

This is a survey of how the existing theories of L-functions are in agreement with Braverman-Kazhdan/Ngo's construction of L-functions which generalizes that of Godement-Jacquet. One hopes that such insights may play a role in understanding the corresponding Fourier transform and Poisson formula which are of particular interest in functoriality.