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1.
Thesis/Dissertation
Kyushu Univ. Production Kyushu Univ. Production
Cover image of 治罪法草案から見た治罪法制定過程
綾部, 二郎 ; Ayabe, Jiro
Academic Year Conferred: 2014
Conferring University: Kyushu University
Degree: MASTER
Degree Type: Master's Degree
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2.
Thesis/Dissertation
Kyushu Univ. Production Kyushu Univ. Production
Cover image of An analogy of Euler primes for a polynomial ring over a field — 体上の多項式環におけるオイラー素数の類似
Morizono, Akinori ; 森園, 明範
Academic Year Conferred: 2016
Conferring University: Kyushu University
Degree: MASTER
Degree Type: Master's Degree
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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