Stephen D. Miller
Adelization of Automorphic Distributions and Mirabolic Eisenstein Series.
Ср, 06/15/2011 - 15:01 — SomNambulAuthors: Stephen D. Miller, Wilfried Schmid
Subjects: Number Theory
AbstractAutomorphic representations can be studied in terms of the embeddings of
abstract models of representations into spaces of functions on Lie groups that
are invariant under discrete subgroups. In this paper we describe an adelic
framework to describe them for the group GL(n,R), and provide a detailed
analysis of the automorphic distributions associated to the mirabolic
Eisenstein series. We give an explicit functional equation for some
distributional pairings involving this mirabolic Eisenstein distribution, and
the action of intertwining operators.The p-Adic Eisenstein Measure and Shahidi-type p-Adic Integral for SL(2).
Ср, 01/13/2010 - 16:01 — SomNambulAuthors: Stephen D. Miller, Stephen Gelbart, Alexei Pantchichkine, Freydoon Shahidi
Subjects: Number Theory
AbstractOur general goal is two-fold: first, to construct p-adic Eisenstein measures
on classical groups using the method of modular distibutions and second, to
apply Shahidi-type theory to construct certain p-adic L-functions using Fourier
expansions of these series. In the present paper we confine ourselves with the
group SL(2), and we try to explain our techniques in this case.A general Voronoi summation formula for GL(n,Z).
Втр, 12/08/2009 - 16:01 — SomNambulAuthors: Stephen D. Miller, Wilfried Schmid
Subjects: Number Theory
AbstractIn an earlier paper we derived an analogue of the classical Voronoi summation
formula for automorphic forms on GL(3), by using the theory of automorphic
distributions. The purpose of the present paper is to apply this theory to
derive the analogous formulas for GL(n).
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