Results 31 to 40 of about 170 (146)

Construction of automorphic Galois representations, II [PDF]

Cambridge Journal of Mathematics, 2013
Recent developments in the theory of the stable trace formula, especially the proof by Laumon and Ngo of the fundamental lemma for unitary groups, has revived Langlands’ strategy for constructing Galois representations in the `-adic cohomology of Shimura varieties.
Chenevier, Gaëtan, Harris, Michael
openaire   +3 more sources

A generalized $\mathrm{PGL}(2)$ Petersson/Bruggeman-Kuznetsov formula for analytic applications

Forum of Mathematics, Sigma
We develop generalized Petersson/Bruggeman-Kuznetsov (PBK) formulas for specified local components at non-archimedean places. In fact, we introduce two hypotheses on non-archimedean test function pairs $f \leftrightarrow \pi (f)$ , called geometric
Yueke Hu, Ian Petrow, Matthew P. Young
doaj   +1 more source

Moments of L$L$‐functions via a relative trace formula

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract We prove an asymptotic formula for the second moment of the GL(n)×GL(n−1)$\mathrm{GL}(n)\times \mathrm{GL}(n-1)$ Rankin–Selberg central L$L$‐values L(1/2,Π⊗π)$L(1/2,\Pi \otimes \pi)$, where π$\pi$ is a fixed cuspidal representation of GL(n−1)$\mathrm{GL}(n-1)$ that is tempered and unramified at every place, while Π$\Pi$ varies over a family of
Subhajit Jana, Ramon Nunes
wiley   +1 more source

Joint distribution of Hecke eigenforms on H3$ \mathbb {H}^3$

Mathematische Nachrichten, Volume 299, Issue 3, Page 661-674, March 2026.
Abstract We prove a joint value equidistribution statement for Hecke–Maaß cusp forms on the hyperbolic three‐space H3$\mathbb {H}^3$. This supports the conjectural statistical independence of orthogonal cusp forms.
Didier Lesesvre, Luca Marchesini, Nicole Raulf   +2 more
wiley   +1 more source

R4 couplings and automorphic unipotent representations [PDF]

Journal of High Energy Physics, 2010
Four-graviton, eight-derivative couplings in the low energy effective action of toroidal type II string compactifications are tightly constrained by U-duality invariance and by supersymmetry. In this note, we revisit earlier proposals for the automorphic form governing these couplings in dimension D=3,4,5,6, and propose that the correct automorphic ...
openaire   +4 more sources

Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley   +1 more source

PROCESSOR-ORIENTED NONLINEAR TRANSFORM BASED ON THE FULL CLASSES OF ISOMORPHIC AND AUTOMORPHIC REPRESENTATIONS OF GALOIS FIELDS GF(512) AND GF(1024)

Системный анализ и прикладная информатика, 2016
The full sets of multilevel linear recurring sequences over all isomorphic and automorphic representations of Galois fields GF(512) and GF(1024) are built. Constructions of cryptographically high quality S-box of processor-oriented lengths N = {512, 1024}
A. V. Sokolov
doaj  

One‐level densities in families of Grössencharakters associated to CM elliptic curves

Mathematika, Volume 72, Issue 1, January 2026.
Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
wiley   +1 more source

Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets

Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.
Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley   +1 more source

Lifting Automorphisms of Quotients of Adjoint Representations

Journal of Lie Theory, 2014
Changes made following referee's suggestions.
openaire   +3 more sources