Results 111 to 120 of about 7,081,606 (216)

A Note on Factorization and the Number of Irreducible Factors of xⁿ − λ over Finite Fields

Mathematics
Let Fq be a finite field, and let n be a positive integer such that gcd(q,n)=1. The irreducible factors of xn−1 and xn−λ are fundamental concepts with wide applications in cyclic codes and constacyclic codes.
Jinle Liu, Hongfeng Wu
doaj   +1 more source

Unit groups of some multiquadratic number fields and 2-class groups. [PDF]

Period Math Hung, 2022
Chems-Eddin MM.
europepmc   +1 more source

The complexity of the dual bases for Gauss normal bases of type (n,k)(k\geq 3) over finite fields

四川大学学报. 自然科学版, 2016
It is well known that normal bases over finite fields have been implemented efficiently in software. The hardware and time complexity of multiplication using normal bases depends on the structure of the normal basis used, particularly on the complexity ...
LIAO Qun-Ying, LI Xue-Lian
doaj  

THE INTEGRAL TRACE FORM IN CYCLOTOMIC FIELDS [PDF]

, 2015
Includes bibliographical references (page 24).In this thesis we investigate the integral trace form of cyclotomic fields. We first show\ud that the formula in the general case, that is, cyclotomic fields of any conductor, can be reduced to the case where
Klevan, Richard Alexander
core  

Conjectures of Sun About Sums of Polygonal Numbers. [PDF]

Mathematica (N Y), 2022
Bringmann K, Kane B.
europepmc   +1 more source

On L-functions of cyclotomic function fields

Journal of Number Theory, 2006
We study two criterions of cyclicity for divisor class groups of functions fields, the first one involves Artin L-functions and the second one involves "affine" class groups. We show that, in general, these two criterions are not linked.
openaire   +3 more sources

Cyclotomic Yokonuma–Hecke algebras are cyclotomic quiver Hecke algebras

, 2017
International audienceWe prove that cyclotomic Yokonuma–Hecke algebras of type A are cyclotomic quiver Hecke algebras and we give an explicit isomorphism with its inverse, using a similar result of Brundan and Kleshchev on cyclotomic Hecke algebras.
Rostam, Salim, Salim Rostam
core   +1 more source

Modularity of PGL₂(𝔽p)-representations over totally real fields. [PDF]

Proc Natl Acad Sci U S A, 2021
Allen PB, Khare CB, Thorne JA.
europepmc   +1 more source

Irreducibility of limits of Galois representations of Saito-Kurokawa type. [PDF]

Res Number Theory, 2021
Berger T, Klosin K.
europepmc   +1 more source

Affine and cyclotomic Schur categories

Using the affine web category introduced in a prequel as a building block, we formulate a diagrammatic $\Bbbk$-linear monoidal category, the affine Schur category, for any commutative ring $\Bbbk$.
Wang, Weiqiang, Song, Linliang
core