An analogy of Euler primes for a polynomial ring over a field

Views: 382
Downloads: 173
このエントリーをはてなブックマークに追加

An analogy of Euler primes for a polynomial ring over a field

Format:
Thesis/Dissertation
Kyushu Univ. Production Kyushu Univ. Production
Title(Other Language):
体上の多項式環におけるオイラー素数の類似
Responsibility:
Morizono, Akinori(Graduate School of Mathematics, Kyushu University)
森園, 明範(九州大学大学院数理学府)
Language:
English
Academic Year Conferred :
2016.
Conferring University:
Kyushu University.
Degree:
MASTER
Degree Type:
Master's Degree
Version:
Publisher
Abstract:
Euler primes have been actively studied as special prime numbers, and their properties are deeply related to the class number of the corresponding quadratic field. A univariate polynomial ring over a field has a similar algebraic structure to the ring of rational integers. For a quadratic extension of a univariate rational function field, its class number is defined. Then, by investigating class numbers, we consider that we can construct polynomials which have certain similar properties to Euler primes. In this paper, we analogically give a formulation of Euler primes for a univariate polynomial ring over a field, and give special polynomials which are viewed as such Euler primes. Read more
View fulltext

Similar Items:

7
素数と2次体の整数論 by 青木, 昇
4
多項式環と有理式体 by Okunev, L. I︠A︡.; 柴岡, 泰光
5
多項式と体 by 稲葉, 栄次
4.
多項式環と有理式体 by Okunev, L. I︠A︡.; 柴岡, 泰光
5.
多項式と体 by 稲葉, 栄次
7.
素数と2次体の整数論 by 青木, 昇