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New integral representations for Rankin-Selberg L-functions by Booker, Andrew R.; Krishnamurthy, Muthu; Lee, Min is a scholarly article available to read on EtoBox.

What is New integral representations for Rankin-Selberg L-functions about?

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.

Author

Booker, Andrew R.; Krishnamurthy, Muthu; Lee, Min

Published

2018

Language

EN