Results 41 to 50 of about 11,043,146 (220)
$p$-ADIC $L$-FUNCTIONS FOR UNITARY GROUPS
Forum of Mathematics, Pi, 2020 This paper completes the construction of $p$-adic $L$-functions for unitary groups. More precisely, in Harris, Li and Skinner [‘$p$-adic $L$-functions for unitary Shimura varieties. I. Construction of the Eisenstein measure’, Doc. Math.Extra Vol. (2006),
ELLEN EISCHEN +3 more
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A reduction principle for Fourier coefficients of automorphic forms
Mathematische Zeitschrift, 2018 We consider a special class of unipotent periods for automorphic forms on a finite cover of a reductive adelic group G(AK)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
D. Gourevitch +4 more
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Automorphic Forms on Feit’s Hermitian Lattices [PDF]
Experimental Mathematics, 2019 We consider the genus of $20$ classes of unimodular Hermitian lattices of rank $12$ over the Eisenstein integers. This set is the domain for a certain space of algebraic modular forms. We find a basis of Hecke eigenforms, and guess global Arthur parameters for the associated automorphic representations, which recover the computed Hecke eigenvalues ...
Dummigan, N., Schönnenbeck, S.
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Some analytic aspects of automorphic forms on GL(2) of minimal type
Commentarii Mathematici Helvetici, 2017 Let $\pi$ be a cuspidal automorphic representation of $PGL_2(\mathbb{A}_\mathbb{Q})$ of arithmetic conductor $C$ and archimedean parameter $T$, and let $\phi$ be an $L^2$-normalized automorphic form in the space of $\pi$.
Yueke Hu, Paul D. Nelson, A. Saha
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Topological automorphic forms on U(1, 1) [PDF]
Mathematische Zeitschrift, 2009 27 pages ...
Behrens, Mark Joseph, Lawson, Tyler
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International Journal of Mathematics and Mathematical Sciences, 2006 It is shown that the space of invariant trilinear forms on smooth representations of a semisimple Lie group is finite dimensional if the group is a product of hyperbolic groups.
Anton Deitmar
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Density of classical points in eigenvarieties [PDF]
, 2010 In this short note, we study the geometry of the eigenvariety parametrizing p-adic automorphic forms for GL(1) over a number field, as constructed by Buzzard. We show that if K is not totally real and contains no CM subfield, points in this space arising
Loeffler, David
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Period relations for automorphic forms on unitary groups and critical values of $L$-functions [PDF]
Documenta Mathematica, 2015 In this paper we explore some properties of periods attached to automorphic representations of unitary groups over CM fields and the critical values of their $L$-functions.
Lucio Guerberoff
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On automorphic points in polarized deformation rings [PDF]
, 2019 For a fixed mod $p$ automorphic Galois representation, $p$-adic automorphic Galois representations lifting it determine points in universal deformation space.
Allen, P.
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Differential Operators and Families of Automorphic Forms on Unitary Groups of Arbitrary Signature [PDF]
Documenta Mathematica, 2015 In the 1970's, Serre exploited congruences between q-expansion coefficients of Eisenstein series to produce p-adic families of Eisenstein series and, in turn, p-adic zeta functions.
E. Eischen +3 more
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