Integrals derived from the doubling method
Number Theory
2018-10-23 v1
Abstract
In this note, we use a basic identity, derived from the generalized doubling integrals of \cite{C-F-G-K1}, in order to explain the existence of various global Rankin-Selberg integrals for certain -functions. To derive these global integrals, we use the identities relating Eisenstein series in \cite{G-S}, together with the process of exchanging roots. We concentrate on several well known examples, and explain how to obtain them from the basic identity. Using these ideas, we also show how to derive a new global integral.
Cite
@article{arxiv.1810.08913,
title = {Integrals derived from the doubling method},
author = {David Ginzburg and David Soudry},
journal= {arXiv preprint arXiv:1810.08913},
year = {2018}
}