Results 51 to 60 of about 676,000 (198)
Constructing hyperelliptic curves with surjective Galois representations [PDF]
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
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]
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
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]
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]
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
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
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]
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
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

