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).
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页码：1107 / 1112
页数：6
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