Results 1 to 10 of about 702,417 (178)
On the notion of the parabolic and the cuspidal support of smooth-automorphic forms and smooth-automorphic representations. [PDF]
Mon Hefte Math, 2021 In this paper we describe several new aspects of the foundations of the representation theory of the space of smooth-automorphic forms (i.e., not necessarily K∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \
Grobner H, Žunar S.
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Certain L2-Norms on Automorphic Representations of SL(2,
Axioms, 2020 Let Γ be a non-uniform lattice in SL(2,R). In this paper, we study various L2-norms of automorphic representations of SL(2,R). We bound these norms with intrinsic norms defined on the representation.
Hongyu He
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Rationality for isobaric automorphic representations: the CM-case. [PDF]
Mon Hefte Math, 2018 In this note we prove a simultaneous extension of the author’s joint result with M. Harris for critical values of Rankin–Selberg L-functions L(s,Π×Π′)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts ...
Grobner H.
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Comparing Hecke coefficients of automorphic representations [PDF]
Transactions of the American Mathematical Society, 2019 We prove a number of unconditional statistical results of the Hecke coefficients for unitary cuspidal representations of GL ( 2
Chiriac, Liubomir, Jorza, Andrei
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Periods and global invariants of automorphic representations
Journal of Number Theory, 2023 We consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and construct corresponding global maps using automorphic $L$-functions. This leads to an introduction of a global invariant of an automorphic representation arising from two ...
Joseph Bernstein, André Reznikov
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Rational structures on automorphic representations [PDF]
Mathematische Annalen, 2017 This paper proves the existence of global rational structures on spaces of cusp forms of general reductive groups. We identify cases where the constructed rational structures are optimal, which includes the case of GL($n$). As an application, we deduce the existence of a natural set of periods attached to cuspidal automorphic representations of GL($n$).
Fabian Januszewski
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Central morphisms and cuspidal automorphic representations [PDF]
Journal of Number Theory, 2019 Let $F$ be a global field. Let $G$ and $H$ be two connected reductive group defined over $F$ endowed with an $F$-morphism $f: H\rightarrow G$ such that the induced morphism $H_{der}\rightarrow G_{der}$ on the derived groups is a central isogeny. Our main results yield in particular the following theorem: Given any irreducible cuspidal representation $π$
Joachim Schwermer
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Cyclic base change of cuspidal automorphic representations over function fields [PDF]
Compositio Mathematica, 2022 Let $G$ be a split semisimple group over a global function field $K$. Given a cuspidal automorphic representation $\Pi$ of $G$ satisfying a technical hypothesis, we prove that for almost all primes $\ell$, there is a cyclic base change lifting of $\Pi ...
G. Böckle +4 more
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Cohomology of moduli spaces via a result of Chenevier and Lannes [PDF]
Épijournal de Géométrie Algébrique, 2023 We use a classification result of Chenevier and Lannes for algebraic automorphic representations together with a conjectural correspondence with $\ell$-adic absolute Galois representations to determine the Euler characteristics (with values in the ...
Jonas Bergström, Carel Faber
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COUNTING DISCRETE, LEVEL- $1$ , QUATERNIONIC AUTOMORPHIC REPRESENTATIONS ON $G_2$ [PDF]
Journal of the Institute of Mathematics of Jussieu, 2021 Quaternionic automorphic representations are one attempt to generalize to other groups the special place holomorphic modular forms have among automorphic representations of $\mathrm {GL}_2$ .
Rahul Dalal
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