FIXED POINTS OF THE SUM OF DIVISORS FUNCTION ON F2[x]

被引：0
|
作者：
Gallardo, Luis H. [1 ]
机构：
[1] Univ Brest, UMR CNRS 6205, Lab Math Bretagne Atlantique, F-29238 Brest, France
来源：
GLASNIK MATEMATICKI | 2022年 / 57卷 / 02期
关键词：
Cyclotomic polynomials; characteristic; 2; Mersenne polynomials; factorization; SPLITTING PERFECT POLYNOMIALS; F-P; IRREDUCIBLE POLYNOMIALS; FACTORIZATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We work on an analogue of a classical arithmetic problem over polynomials. More precisely, we study the fixed points F of the sum of divisors function sigma : F-2[x] -> F-2[x] (defined mutatis mutandi like the usual sum of divisors over the integers) of the form F := A(2) center dot S, S square-free, with omega (S) <= 3, coprime with A, for A even, of whatever degree, under some conditions. This gives a characterization of 5 of the 11 known fixed points of sigma in F-2[x].
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页码：221 / 237
页数：17
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