대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제53권4호
  • /
  • Pages.1005-1015
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  • 2016
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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BOUNDED PARTIAL QUOTIENTS OF SOME CUBIC POWER SERIES WITH BINARY COEFFICIENTS

  • Ayadi, Khalil (Department of Mathematics Faculty of Sciences University of Sfax) ;
  • Beldi, Salah (Department of Mathematics Faculty of Sciences University of Sfax) ;
  • Lee, Kwankyu (Department of Mathematics Education Chosun University)
  • 투고 : 2015.05.27
  • 발행 : 2016.07.31
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초록

It is a surprising but now well-known fact that there exist algebraic power series of degree higher than two with partial quotients of bounded degrees in their continued fraction expansions, while there is no single algebraic real number known with bounded partial quotients. However, it seems that these special algebraic power series are quite rare and it is hard to determine their continued fraction expansions explicitly. To the short list of known examples, we add a new family of cubic power series with bounded partial quotients.

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참고문헌

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