New integral representations for Rankin-Selberg L-functions

Andrew R. Booker, Muthu Krishnamurthy

Published 2018-04-20Version 1

We derive integral representations for the Rankin-Selberg L-functions on GL(3)xGL(1) and GL(3)xGL(2) by a process of unipotent averaging at the Archimedean places. A ket feature of our result is that it allows one to fix the choice of test vector at finite places, even when the underlying representations have common ramification.