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arXiv · 1106.2364

Pairings of automorphic distributions

Stephen D. Miller·Wilfried Schmid
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Abstract

We present a pairing of automorphic distributions that applies in situations where a Lie group acts with an open orbit on a product of generalized flag varieties. The pairing gives meaning to an integral of products of automorphic distributions on these varieties. This generalizes classical integral representations or "Rankin-Selberg integrals" of L-functions, and gives new constructions and analytic continuations of automorphic L-functions. Keywords: Automorphic forms, invariant pairings, automorphic distributions, L-functions, analytic continuation, rapid decay.

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Stephen D. Miller, Wilfried Schmid. 2011-06-13. Pairings of automorphic distributions. https://arxiv.org/abs/1106.2364

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