A NOTE ON CERTAIN REAL QUADRATIC FIELDS WITH CLASS NUMBER UP TO THREE

被引：6

作者：

Chakraborty, Kalyan ^{[1
]}

Hoque, Azizul ^{[1
]}

Mishra, Mohit ^{[1
]}

机构：

[1] HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2020年 / 74卷 / 01期

关键词：

Richaud-Degert type real quadratic field; class number; zeta values; LINEAR-FORMS; LOGARITHMS; CRITERIA;

D O I：

10.2206/kyushujm.74.201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain criteria for the class number of certain Richaud-Degert type real quadratic fields to be three. We also treat a couple of families of real quadratic fields of Richaud-Degert type that were not considered earlier, and obtain similar criteria for the class number of such fields to be two and three.

引用

页码：201 / 210

页数：10

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