Results 121 to 130 of about 4,787 (264)

The 3‐sparsity of Xn−1$X^n-1$ over finite fields of characteristic 2

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Let q$q$ be a prime power and Fq$\mathbb {F}_q$ the finite field with q$q$ elements. For a positive integer n$n$, the polynomial Xn−1∈Fq[X]$X^n - 1 \in \mathbb {F}_q[X]$ is termed 3‐sparse over Fq$\mathbb {F}_q$ if all its irreducible factors in Fq[X]$\mathbb {F}_q[X]$ are either binomials or trinomials.
Kaimin Cheng
wiley   +1 more source

Primitive divisors of elliptic divisibility sequences

open access: yes, 2021
Elliptic divisibility sequences have been introduced by Ward, in 1948. The terms of an elliptic divisibility sequence represent the denominators of the abscissas of the iterates of a point on an elliptic curve.
VERZOBIO, MATTEO
core  

Rational points on even‐dimensional Fermat cubics

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley   +1 more source

On a “grouplike” family of quasigroups

open access: yesExamples and Counterexamples
Quasigroups are algebraic structures in which divisibility is always defined. This paper illustrates some similarities and differences between quasigroup theory and group theory, by singling out a special family of quasigroups which seem to be most ...
Ahmed Al Fares, Gizem Karaali
doaj   +1 more source

A genetic algorithm simheuristic for solving the stochastic project portfolio selection problem with portfolio reliability constraints

open access: yesInternational Transactions in Operational Research, Volume 33, Issue 6, Page 4039-4071, November 2026.
Abstract In response to the increasing complexity of modern products, dynamic markets, and intensified competition, project‐based organizations are actively seeking methodologies to efficiently manage their expanding project portfolios. This paper analyzes the project portfolio selection problem in uncertain environments. Despite recent advances in the
Miguel Saiz   +3 more
wiley   +1 more source

Primes in divisibility sequences

open access: yes, 2001
We give an overview of two important families of divisibility sequences: the Lehmer--Pierce family (which generalise the Mersenne sequence) and the elliptic divisibility sequences.
Ward, Thomas   +3 more
core  

On The Elliptic Divisibility Sequences over Finite Fields

open access: yes, 2009
In this work we study elliptic divisibility sequences over finite fields. MorganWard in [11, 12] gave arithmetic theory of elliptic divisibility sequences.
Osman Bizim
core   +2 more sources

Weak, Strong and Mixed Extensions of Relations to Spaces of Ultrafilters

open access: yesMathematical Logic Quarterly, Volume 72, Issue 3, August 2026.
ABSTRACT The use of nonstandard methods to characterize properties of weak, strong and mixed extensions of congruences to ultrafilters has been the main topic of several recent papers, focused mostly on congruences and divisions. We show that similar methods can be used to extend these characterizations to arbitrary relations and their interplay.
Leonardo Raffaello Maximilian Gasparro   +1 more
wiley   +1 more source

Divisibility tests by powers of 2 [PDF]

open access: yes, 2015
There is a well-known test for divisibility by powers of 2: to check the divisibility of a number M by 2^n, we form a new ...
Shaikh, Majid
core  

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