Results 61 to 70 of about 94,460 (146)
On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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On the Irreducibility of Some Composite Polynomials
Journal of Mathematical Extension, 2012 . In this paper we study the irreducibility of some composite polynomials, constructed by a polynomial composition method over finite fields. Finally, a recurrent method for constructing families of irreducible polynomials of higher degree from given ...
M. Alizadeh
doaj
A theorem of Dickson on irreducible polynomials [PDF]
Proceedings of the American Mathematical Society, 1952 Im Anschluß an ältere spezielle Untersuchungen von Dickson betrachtet Verf. allgemein über einem endlichen Körper mit \(q\) Elementen die Anzahlen der normierten Primpolynome \(P(x) = x^m + c_1x^{m-1}+\cdots + c_m\) vom Grade \(m\) mit bestimmten Vorschriften über die Koeffizienten \(c_1, c_m\). Aus dem von \textit{H. Davenport} und dem Ref. [J.
openaire +2 more sources
Rational points on even‐dimensional Fermat cubics
Transactions 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
Linear transformation shift register sequences
网络与信息安全学报, 2016 Linear transformation shift registers (TSR) were introduced by Tsaban and Vishne,which was a word-oriented shift register output a word per step.Some basic properties of sequences generated by the TSR were presented,and a new criterion for deciding if ...
Ming-sheng WANG, Zai-liang TANG
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International Journal of Mathematics and Mathematical Sciences, 2006 Let kq denote the finite field of order q and odd characteristic p. For a∈kq, let gd(x,a) denote the Dickson polynomial of degree d defined by gd(x,a)=∑i=0[d/2]d/(d−i)(d−ii)(−a)ixd−2i.
Javier Gomez-Calderon
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Journal of Mathematics, 2021 The generalisation of questions of the classic arithmetic has long been of interest. One line of questioning, introduced by Car in 1995, inspired by the equidistribution of the sequence nαn∈N where ...
Wiem Gadri
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AIChE Journal, Volume 72, Issue 6, June 2026.Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur +3 more
wiley +1 more source
Recursive Polynomial Sets and Their Some Algebraic Applications
Cumhuriyet Science JournalThis paper primarily defines the framework for a new class of polynomial sets over a finite field GF (2), providing a recursive definition and delving into pertinent algebraic properties.
Hacı Aktaş
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Constructing irreducible polynomials with prescribed level curves over finite fields
International Journal of Mathematics and Mathematical Sciences, 2001 We use Eisenstein's irreducibility criterion to prove that there exists an absolutely irreducible polynomial P(X,Y)∈GF(q)[X,Y] with coefficients in the finite field GF(q) with q elements, with prescribed level curves Xc:={(x,y)∈GF(q)2|P(x,y)=c}.
Mihai Caragiu
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