Some results connected with the class number problem in real quadratic fields

被引：0

作者：

Grytczuk, A ^{[1
]}

Grytczuk, J

机构：

[1] Univ Zielona Gora, Fac Math Comp Sci & Econometr, PL-65516 Zielona Gora, Poland

[2] Univ Zielona Gora, Inst Math, PL-65516 Zielona Gora, Poland

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2005年 / 21卷 / 05期

关键词：

the class number; real quadratic field;

D O I：

10.1007/s10114-005-0544-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate arithmetic properties of certain subsets of square-free positive integers and obtain in this way some results concerning the class number h(d) of the real quadratic field Q(v d). In particular, we give a new proof of the result of Hasse, asserting that in this case h(d) = 1 is possible only if d is of the form p, 2q or qr, where p, q, r are primes and q = r = 3(mod 4).

引用

页码：1107 / 1112

页数：6

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