Results 51 to 60 of about 676,000 (198)

Constructing hyperelliptic curves with surjective Galois representations [PDF]

open access: yesTransactions of the American Mathematical Society, 2017
In this paper we show how to explicitly write down equations of hyperelliptic curves over Q \mathbb {Q} such that for all odd primes ℓ \ell the image of the mod  ℓ \ell Galois ...
Samuele Anni, V. Dokchitser
semanticscholar   +1 more source

Redesigning the Serpent Algorithm by PA-Loop and Its Image Encryption Application

open access: yesIEEE Access, 2023
This article presents a cryptographic encryption standard whose model is based on Serpent presented by Eli Biham, Ross Anderson, and Lars Knudsen. The modification lies in the design of the Cipher, we have used power associative (PA) loop and group of ...
Sadam Hussain   +4 more
doaj   +1 more source

Galois representations for general symplectic groups [PDF]

open access: yesJournal of the European Mathematical Society (Print), 2016
We prove the existence of GSpin-valued Galois representations corresponding to cohomological cuspidal automorphic representations of general symplectic groups over totally real number fields under the local hypothesis that there is a Steinberg component.
A. Kret, S. Shin
semanticscholar   +1 more source

Akashi series, characteristic elements and congruence of Galois representations

open access: yes, 2015
In this paper, we compare the Akashi series of the Pontryagin dual of the Selmer groups of two Galois representations over a strongly admissible p-adic Lie extension.
Lim, Meng Fai
core   +1 more source

Enumerating Galois Representations in Sage [PDF]

open access: yes, 2010
4 pages, short communication for the Third International Congress on Mathematical Software (2010)
Citro, Craig, Ghitza, Alexandru
openaire   +2 more sources

Locally Indecomposable Galois Representations [PDF]

open access: yesCanadian Journal of Mathematics, 2011
Abstract In a previous paper the authors showed that, under some technical conditions, the local Galois representations attached to the members of a non-CM family of ordinary cusp forms are indecomposable for all except possibly finitely many members of the family.
Eknath Ghate, Vinayak Vatsal
openaire   +1 more source

Attribute Implication Bases From Galois Connection Structures

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2729-2753, 15 March 2026.
ABSTRACT Modeling knowledge systems by determining relationships among key variables have been and currently is a fundamental and nontrivial challenge in real‐world scenarios. Many approaches have been developed to reach this goal, but many of them are heuristic and require of alternative procedures to provide robust and tractable rules.
M. Eugenia Cornejo   +2 more
wiley   +1 more source

Modularity of trianguline Galois representations

open access: yesForum of Mathematics, Sigma
We use the theory of trianguline $(\varphi ,\Gamma )$ -modules over pseudorigid spaces to prove a modularity lifting theorem for certain Galois representations which are trianguline at p, including those with characteristic p coefficients.
Rebecca Bellovin
doaj   +1 more source

Computation of Galois field expressions for quaternary logic functions on GPUs [PDF]

open access: yesSerbian Journal of Electrical Engineering, 2014
Galois field (GF) expressions are polynomials used as representations of multiple-valued logic (MVL) functions. For this purpose, MVL functions are considered as functions defined over a finite (Galois) field of order p - GF(p).
Gajić Dušan B.
doaj   +1 more source

Overconvergent modular forms are highest-weight vectors in the Hodge-Tate weight zero part of completed cohomology

open access: yesForum of Mathematics, Sigma, 2021
We construct a $(\mathfrak {gl}_2, B(\mathbb {Q}_p))$ and Hecke-equivariant cup product pairing between overconvergent modular forms and the local cohomology at $0$ of a sheaf on $\mathbb {P}^1$, landing in the compactly supported completed $\mathbb {C ...
Sean Howe
doaj   +1 more source

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