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Cycle structure of Dickson permutation polynomials

2016
Let \(D_n(x,a)\) 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

Simple Local Polynomial Density Estimators

Journal of the American Statistical Association, 2020
Matias D Cattaneo, Michael Jansson
exaly  

The kernel polynomial method

Reviews of Modern Physics, 2006
Gerhard Wellein   +2 more
exaly  

A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1980
Richard F Riesenfeld
exaly  

Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion

Reliability Engineering and System Safety, 2012
Sergey Oladyshkin, Wolfgang Nowak
exaly  

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