TITLE

Some Results Connected with the Class Number Problem in Real Quadratic Fields

AUTHOR(S)
Grytczuk, Aleksander; Grytczuk, Jarosław
PUB. DATE
October 2005
SOURCE
Acta Mathematica Sinica;Oct2005, Vol. 21 Issue 5, p1107
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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 $$ \mathbb{Q}{\left( {{\sqrt d }} \right)} $$. 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, 2 q or qr, where p, q, r are primes and q ≡ r ≡ 3(mod 4).
ACCESSION #
18597436

 

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