Results 1 to 10 of about 11,043,146 (220)
Automorphic forms and fermion masses [PDF]
Journal of High Energy Physics, 2021 We extend the framework of modular invariant supersymmetric theories to encompass invariance under more general discrete groups Γ, that allow the presence of several moduli and make connection with the theory of automorphic forms.
Gui-Jun Ding +2 more
doaj +5 more sources
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.
europepmc +3 more sources
Finiteness of cohomology groups of stacks of shtukas as modules over Hecke algebras, and applications [PDF]
Épijournal de Géométrie Algébrique, 2020 In this paper we prove that the cohomology groups with compact support of stacks of shtukas are modules of finite type over a Hecke algebra. As an application, we extend the construction of excursion operators, defined by V.
Cong Xue
doaj +4 more sources
A Characterization of Planar Mixed Automorphic Forms [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We characterize the functional space of the planar mixed automorphic forms with respect to an equivariant pair and given lattice as the image of the Landau automorphic forms (involving special multiplier) by an appropriate isomorphic transform.
Allal Ghanmi
doaj +4 more sources
Holomorphic automorphic forms and cohomology [PDF]
Memoirs of the American Mathematical
Society, 2014 We investigate the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least 2 this correspondence is given by the Eichler integral.
Bruggeman, Roelof +2 more
core +8 more sources
Special Geometry and Automorphic Forms [PDF]
Nuclear Physics B, 1997 We consider special geometry of the vector multiplet moduli space in compactifications of the heterotic string on $K3 \times T^2$ or the type IIA string on $K3$-fibered Calabi-Yau threefolds.
Aldazabal +50 more
core +6 more sources
Supergravity divergences, supersymmetry and automorphic forms [PDF]
, 2015 We investigate the occurrence of divergences in maximal supergravity in various dimensions from the point of view of supersymmetry constraints on the U-duality invariant threshold functions defining the higher derivative couplings in the effective action.
Bossard, Guillaume, Kleinschmidt, Axel
core +5 more sources
Bagchi's Theorem for families of automorphic forms
, 2017 We prove a version of Bagchi's Theorem and of Voronin's Universality Theorem for family of primitive cusp forms of weight $2$ and prime level, and discuss under which conditions the argument will apply to general reasonable family of automorphic $L ...
A. Laurinčikas +11 more
core +2 more sources
Seven Small Simple Groups Not Previously Known to Be Galois Over
Mathematics, 2022 In this note we realize seven small simple groups as Galois groups over Q. The technique that we employ is the determination of the images of Galois representations attached to modular and automorphic forms, relying in two cases on recent results of ...
Luis Dieulefait +2 more
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Topological modular and automorphic forms [PDF]
Handbook of Homotopy Theory, 2019 This article is a brief survey of the theory of topological modular forms (TMF) and the theory of topological automorphic forms (TAF). It will be a chapter in forthcoming "Handbook of Homotopy Theory" edited by Haynes Miller.
M. Behrens
semanticscholar +1 more source