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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.7 No.1

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CERTAIN REAL QUADRATIC FLELDS WITH CLASS NUMBERS 1, 3 AND 5

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2000, v.7 no.1, pp.27-32
Park, Joong-Soo
Park, Joong-Soo. (2000). CERTAIN REAL QUADRATIC FLELDS WITH CLASS NUMBERS 1, 3 AND 5, 7(1), 27-32.

Abstract

The quadratic fields generated by $x^2$=ax+1($\alpha\geq$1) are studied. The regulators are relatively small and are known at one. The class numbers are relatively large and easy to compute. We shall find all the values of p, where p=$\alpha^2$+4 is a prime in $\mathbb{Z}$, such that $\mathbb{Q}(\sprt{p})$ has class numbers 1, 3 and 5.

keywords
quadratic fields, class number

한국수학교육학회지시리즈B:순수및응용수학

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