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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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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: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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. 한국수학교육학회지시리즈B:순수및응용수학, 7(1), 27-32.

Abstract

The quadratic fields generated by <TEX>$x^2$</TEX>=ax+1(<TEX>$\alpha\geq$</TEX>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=<TEX>$\alpha^2$</TEX>+4 is a prime in <TEX>$\mathbb{Z}$</TEX>, such that <TEX>$\mathbb{Q}(\sprt{p})$</TEX> has class numbers 1, 3 and 5.

keywords
quadratic fields, class number

한국수학교육학회지시리즈B:순수및응용수학

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