When Is the Number of True Different Permutation Polynomials Equal to 0?

Autor:	Lucian Trifina, Daniela Tarniceriu
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	permutation polynomial number of pps equal to 0 zhao and fan sufficient conditions Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 11, p 1018 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7111018
Popis:	In this paper, we have obtained the prime factorization form of positive integers N for which the number of true different fourth- and fifth-degree permutation polynomials (PPs) modulo N is equal to zero. We have also obtained the prime factorization form of N so that the number of any degree PPs nonreducible at lower degree PPs, fulfilling Zhao and Fan (ZF) sufficient conditions, is equal to zero. Some conclusions are drawn comparing all fourth- and fifth-degree permutation polynomials with those fulfilling ZF sufficient conditions.
Databáze:	Directory of Open Access Journals
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