Beyond endoscopy for the Rankin-Selberg L-function |
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Authors: | P Edward Herman |
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Institution: | American Institute of Mathematics, 360 Portage Ave., Palo Alto, CA 94306-2244, United States |
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Abstract: | We try to understand the poles of L-functions via taking a limit in a trace formula. This technique avoids endoscopic and Kim-Shahidi methods. In particular, we investigate the poles of the Rankin-Selberg L-function. Using analytic number theory techniques to take this limit, we essentially get a new proof of the analyticity of the Rankin-Selberg L-function at s=1. Along the way we discover the convolution operation for Bessel transforms. |
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Keywords: | Trace formule Automorphic forms Analytic number theory L-functions |
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