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 +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
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
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 +2 more
exaly +2 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 +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
ON THE BOUNDARY BEHAVIOR OF AUTOMORPHIC FORMS [PDF]
International Journal of Number Theory, 2006 We investigate the boundary behavior of modular forms f on the full modular group. We first show that {x ∈ [0, 1] | lim y→0+ yk/2|f(x + iy)| exists } is contained in a set of Lebesgue measure 0. In particular, we recover the well-known fact that the real axis is a natural boundary of definition for f.
Bringmann, Kathrin +2 more
openaire +3 more sources
Hecke Algebras and Automorphic Forms [PDF]
Compositio Mathematica, 2002 The goal of this paper is to carry out some explicit calculations of the actions of Hecke operators on spaces of algebraic modular forms on certain simple groups. In order to do this, we give the coset decomposition for the supports of these operators. We present the results of our calculations along with interpretations concerning
Lansky, Joshua, Pollack, David
openaire +1 more source