Results 1 to 10 of about 230 (160)

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, Ferruccio Feruglio, Xiang-Gan Liu   +2 more
doaj   +3 more sources

Application of automorphic forms to lattice problems

Journal of Mathematical Cryptology, 2022
In this article, we propose a new approach to the study of lattice problems used in cryptography. We specifically focus on module lattices of a fixed rank over some number field.
Düzlü Samed, Krämer Juliane
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   +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   +1 more source

Seven Small Simple Groups Not Previously Known to Be Galois Over $\mathbb{Q}$

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, Enric Florit, Núria Vila   +2 more
doaj   +1 more source

A relation between automorphic forms on GL(2) and GL(3) [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 1976
Stephen Gelbart, Hervé Jacquet, Gelbart Stephen   +2 more
exaly   +2 more sources

AUTOMORPHIC FORMS ON A SEMISIMPLE LIE GROUP. [PDF]

Proc Natl Acad Sci U S A, 1959
Harish-Chandra.
europepmc   +5 more sources

PERIODIC TWISTS OF $\operatorname{GL}_{3}$-AUTOMORPHIC FORMS

Forum of Mathematics, Sigma, 2020
We prove that sums of length about $q^{3/2}$ of Hecke eigenvalues of automorphic forms on $\operatorname{SL}_{3}(\mathbf{Z})$ do not correlate with $q$-periodic functions with bounded Fourier transform.
EMMANUEL KOWALSKI, YONGXIAO LIN, PHILIPPE MICHEL, WILL SAWIN   +3 more
doaj   +1 more source

Power moments of automorphic L-functions related to Maass forms for SL3(ℤ)

Open Mathematics, 2021
Let ff be a self-dual Hecke-Maass eigenform for the group SL3(Z)S{L}_{3}\left({\mathbb{Z}}).
Huang Jing, Liu Huafeng, Zhang Deyu
doaj   +1 more source

THE SHIMURA CURVE OF DISCRIMINANT 15 AND TOPOLOGICAL AUTOMORPHIC FORMS

Forum of Mathematics, Sigma, 2015
We find defining equations for the Shimura curve of discriminant 15 over $\mathbb{Z}[1/15]$. We then determine the graded ring of automorphic forms over the 2-adic integers, as well as the higher cohomology. We apply this to calculate the homotopy groups
TYLER LAWSON
doaj   +1 more source