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Some Results Connected with the Class Number Problem in Real Quadratic Fields 被引量:1
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作者 Aleksander GRYTCZUK Jaroslaw GRYTCZUK 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第5期1107-1112,共6页
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(√d). In particular, we g... 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(√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). 展开更多
关键词 The class number Real quadratic field
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