Properties of the Graph Arising from Certain Map over a Finite Field

被引：0

作者：

Doemlim, Pratchayaporn ^{[1
]}

Laohakosol, Vichian ^{[2
]}

Chaichana, Tuangrat ^{[1
]}

机构：

[1] Chulalongkorn Univ, Fac Sci, Dept Math & Comp Sci, Bangkok 10330, Thailand

[2] Kasetsart Univ, Fac Sci, Dept Math, Bangkok 10900, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2024年 / 22卷 / 01期

关键词：

graph of iteration; finite field; cycle; tail;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For primes p and q, the graph obtained from iterating the map x -> x(p) over the finite field of q(2) elements is considered. Asymptotic formulas for the sum, over bounded primes q, of the total number of elements in all cycles and that of all tail lengths are derived.

引用

页码：251 / 262

页数：12

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