Determination of class numbers of imaginary cyclic quartic number fields and cyclotomic fields

被引：0

作者：

Ram, Mahesh Kumar ^{[1
]}

机构：

[1] Natl Inst Sci Educ & Res, Jatni, Bhubaneswar, India

来源：

RAMANUJAN JOURNAL | 2025年 / 67卷 / 01期

关键词：

Residue degree; Class groups; Class numbers;

D O I：

10.1007/s11139-025-01058-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let m>1 be a square-free integer such that each prime divisor of m is congruent to 3 modulo 4. We show that there is no imaginary cyclic quartic number field whose class number is m. Additionally, we show that this result also holds for certain types of cyclotomic fields.

引用

页数：7

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