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arXiv · 1804.07721

New integral representations for Rankin-Selberg L-functions

Andrew R. Booker·Muthu Krishnamurthy·Min Lee
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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.

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Andrew R. Booker, Muthu Krishnamurthy, Min Lee. 2018-09-14. New integral representations for Rankin-Selberg L-functions. https://arxiv.org/abs/1804.07721

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