Finite polynomial orbits in quadratic rings

被引：4

作者：

Marszalek, Roman ^{[1
]}

Narkiewicz, Wladyslaw ^{[1
]}

机构：

[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland

来源：

RAMANUJAN JOURNAL | 2006年 / 12卷 / 01期

关键词：

polynomial maps; polynomial cycles; finite polynomial orbits; quadratic integers;

D O I：

10.1007/s11139-006-9578-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

All finite orbits of polynomial mappings in one variable in rings of integers of quadratic number fields are determined. The largest such orbit has seven elements and lies in the third cyclotomic field.

引用

页码：91 / 130

页数：40

共 7 条

[1] Finite polynomial orbits in quadratic rings
Roman Marszałek
Władyslaw Narkiewicz
The Ramanujan Journal, 2006, 12 : 91 - 130
[2] Polynomial orbits in finite commutative rings
Petra Konečná
Czechoslovak Mathematical Journal, 2006, 56 : 711 - 719
[3] Polynomial orbits in finite commutative rings
Konecna, Petra
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2006, 56 (02) : 711 - 719
[4] Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
Pezda, T.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2004, 2 (02): : 294 - 331
[5] POLYNOMIAL CYCLES IN RINGS OF INTEGERS IN FIELDS OF SIGNATURE (0, 2)
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FUNCTIONES ET APPROXIMATIO COMMENTARII MATHEMATICI, 2013, 49 (02) : 391 - 409
[6] Dynamics of polynomial maps over finite fields
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Designs, Codes and Cryptography, 2024, 92 : 1113 - 1125
[7] Dynamics of polynomial maps over finite fields
Oliveira, Jose Alves
Martinez, F. E. Brochero
DESIGNS CODES AND CRYPTOGRAPHY, 2024, 92 (05) : 1113 - 1125

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