논문KCI 등재
On the existence of real quadratic fields with odd period of minimal type
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In this paper, under the ABC-conjecture, we show that there exist infinitely many real quadratic fields with odd period of minimal type.
Abstract
In this paper, under the ABC-conjecture, we show that there exist infinitely many real quadratic fields with odd period of minimal type.
참고문헌 (5)
- A. Granville, "ABC allows us to count squarefrees", Internat. Math. Res. Notices, 1998(19), pp.991~1009 (1998)[DOI]
- F. Kawamoto, "Real quadratic fields, continued fractions, and a construction of primary symmetric parts of ELE type", Kyushu J. Math, 73(1), pp.165~187 (2019)[DOI]
- F. Kawamoto, "Continued fractions and certain real quadratic fields of minimal type", J. Math. Soc. Japan, 60(3), pp.865~903 (2008)
- F. Kawamoto, "Continued fractions with even period and an infinite family of real quadratic fields of minimal type", Osaka J. Math, 46(4), pp.949~993 (2009)
- P. Ribenboim, "The New Book of Prime Number Records" (1996), Springer
관련 논문AI추천
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