New integral representations for Rankin-Selberg L-functions
Number Theory
2018-09-18 v2
Abstract
We derive integral representations for the Rankin-Selberg L-functions on GL(3) x GL(1) and GL(3) x GL(2) by a process of unipotent averaging at archimedean places. A key feature of our result is that it allows one to fix the choice of test vector at finite places, irrespective of ramification. This enables a new proof of the functional equation for GL(3) x GL(2) Rankin-Selberg L-functions in many cases.
Cite
@article{arxiv.1804.07721,
title = {New integral representations for Rankin-Selberg L-functions},
author = {Andrew R. Booker and Muthu Krishnamurthy and Min Lee},
journal= {arXiv preprint arXiv:1804.07721},
year = {2018}
}
Comments
29 pages