PRIME-PRODUCING POLYNOMIALS RELATED TO CLASS NUMBER ONE PROBLEM OF NUMBER FIELDS

被引：0

作者：

Lee, Jun Ho ^{[1
]}

机构：

[1] Mokpo Natl Univ, Dept Math Educ, Muan Gun 58554, Jeonnam, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 02期

关键词：

Prime-producing polynomials; quadratic fields; cubic fields; class number; REAL QUADRATIC FIELDS; CRITERIA;

D O I：

10.4134/BKMS.b220094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

First, we recall the results for prime-producing polynomials related to class number one problem of quadratic fields. Next, we give the relation between prime-producing cubic polynomials and class number one problem of the simplest cubic fields and then present the conjecture for the relations. Finally, we numerically compare the ratios producing prime values for several polynomials in some interval.

引用

页码：315 / 323

页数：9

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