Results 71 to 80 of about 1,826,401 (170)

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

Prismatic F‐crystals and Wach modules

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We show that the category of analytic/completed prismatic F-crystals$F\text{-crystals}$ on the absolute prismatic site of a small (unramified at p$p$) base ring is naturally equivalent to the category of relative Wach modules from the theory of (φ,Γ)-modules$(\varphi, \Gamma)\text{-modules}$.
Abhinandan
wiley   +1 more source

Characterization of image sets: the Galois Lattice approach [PDF]

, 2003
This paper presents a new method for supervised image classification. One or several landmarks are attached to each class, with the intention of characterizing it and discriminating it from the other classes.
Samuelides, Manuel, Zenou, Emmanuel, Manuel Samuelides, Emmanuel Zenou   +3 more
core  

An introduction to Differential Galois Theory

, 2023
openIn questa tesi verrà introdotta la Teoria di Galois Differenziale, detta anche Teoria di Picard-Vessiot, la quale riprende le idee della Teoria di Galois classica e le applica allo studio delle soluzioni di equazioni differenziali. Verranno definite
TACCHETTI, EDOARDO
core  

Finding Minimum‐Cost Explanations for Predictions Made by Tree Ensembles

Software: Practice and Experience, Volume 56, Issue 6, Page 615-642, June 2026.
ABSTRACT The ability to reliably explain why a machine learning model arrives at a particular prediction is crucial when used as decision support by human operators of critical systems. The provided explanations must be provably correct, and preferably without redundant information, called minimal explanations.
John Törnblom, Emil Karlsson, Simin Nadjm‐Tehrani   +2 more
wiley   +1 more source

Design and implementation of distributed Galois [PDF]

, 2013
textThe Galois system provides a solution to the hard problem of parallelizing irregular algorithms using amorphous data-parallelism. The present system works on the shared-memory programming model. The programming model has limitations on the memory and
Dhanapal, Manoj
core  

A new DNA-based model for finite field arithmetic

Heliyon, 2019
A Galois field GF(pn) with p≥2 a prime number and n≥1 is a mathematical structure widely used in Cryptography and Error Correcting Codes Theory. In this paper, we propose a novel DNA-based model for arithmetic over GF(pn).
Iván Jirón, Susana Soto, Sabrina Marín, Mauricio Acosta, Ismael Soto   +4 more
doaj   +1 more source

Format-preserving encryption algorithm based on dynamic galois field

Dianxin kexue
Format-preserving encryption (FPE) is characterized by its ability to maintain data format and length post-encryption while adhering to format constraints, rendering it highly applicable for data anonymization purposes. Current FPE schemes are faced with
YUAN Heqing, SHEN Jinshang, WANG Qiang
doaj  

On local Galois deformation rings: generalised tori

Forum of Mathematics, Sigma
We study deformation theory of mod p Galois representations of p-adic fields with values in generalised tori, such as L-groups of (possibly non-split) tori.
Vytautas Paškūnas, Julian Quast
doaj   +1 more source

CONVEYOR ANALOG OF MATRIX DIFFIE-HELLMAN PROOTOKOL

Ìнформаційні технології в освіті, 2013
A variant of the construction of the matrix analog of Diffie-Hellman based on pipelined binary update secret element used to generate the secret key encryption legalized subscribers open network.
A.J. Beletsky, А.А. Beletsky
doaj