Pairings of automorphic distributions

Details Pairings of automorphic distributions Pairings of automorphic distributions

2011-06-13

arxiv.org/abs/1106.2364v1

Mathematics

Number Theory

19 pages, to appear in Mathematische Annalen

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Pairings of automorphic distributions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pairings of automorphic distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pairings of automorphic distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-429015