Results 201 to 210 of about 57,503 (225)
Some of the next articles are maybe not open access.
Uniformly Representable Permutation Polynomials
2002We outline the basics for a systematic study of permutation polynomials on finite fields with characteristic 2, which admit a certain uniform representation. We describe a general technique to confirm the permutation property of such polynomials by algebraic calculations with multivariate polynomials over the two-element field.
openaire +1 more source
Permutations amongst the Dembowski-Ostrom Polynomials
2001We note that certain Dembowski-Ostrom polynomials can be obtained from the product of two linearised polynomials. We examine this subclass for permutation behaviour over finite fields. In particular, a new infinite class of permutation polynomials is identified.
Blokhuis, A. +3 more
openaire +2 more sources
Cycle structure of Dickson permutation polynomials
2016Let \(D_n(x,a)\) be the Dickson polynomial over the finite field \(\mathbb F_q\) of degree \(n\) and with parameter \(a\in \mathbb F_q\). It is well known that \(D_n(x,0)=x^n\) permutes \(\mathbb F_q\) if and only if \(\gcd(n,q- 1)=1\), and for \(a\ne 0\), \(D_n(x,a)\) permutes \(\mathbb F_q\) if and only if \(\gcd(n,q^ 2-1)=1\). Furthermore, for fixed
Lidl, Rudolf, Mullen, Gary L.
openaire +2 more sources
Jensen polynomials for the Riemann zeta function and other sequences
Proceedings of the National Academy of Sciences of the United States of America, 2019Larry G Rolen
exaly
Exactly solvable quantum mechanics and infinite families of multi-indexed orthogonal polynomials
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 2011Satoru Odake
exaly