Pell-type equations and class number of the maximal real subfield of a cyclotomic field

被引：10

作者：

Hoque, Azizul ^{[1
]}

Chakraborty, Kalyan ^{[1
]}

机构：

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

来源：

RAMANUJAN JOURNAL | 2018年 / 46卷 / 03期

关键词：

Diophantine equation; Real quadratic fields; Maximal real subfield of cyclotomic field; Class number;

D O I：

10.1007/s11139-017-9963-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the solvability of the Diophantine equation in integers for certain integer m and prime p. Then we apply these results to produce family of maximal real subfield of a cyclotomic field whose class number is strictly larger than 1.

引用

页码：727 / 742

页数：16

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