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On real continued fractions

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In this paper, we give some improvements to results obtained by G.Nettler, [2] and T.Okano, [4] related to the irrationality and transcendence of continued fractions.

Abstract

In this paper, we give some improvements to results obtained by G.Nettler, [2] and T.Okano, [4] related to the irrationality and transcendence of continued fractions.

참고문헌 (5)

  1. Hancl, Jaroslav, "Continued fractional algebraic independence of sequences", Publ. Math. Debrecen, 46(1-2), pp.27~31 (1995)
  2. G. Nettler, "On transcendental numbers whose sum, difference, quotient and product are transcendental numbers", Math Student, 41, pp.339~348 (1973)
  3. G. Nettler, "Transcendental continued fractions", J. Number Theory, 13, pp.456~462 (1981)
  4. T. Okano, "A Note on the Transcendental Continued Fractions", TOKYO J. MATH, 10(1), pp.151~156 (1987)
  5. T. Topfer, "Transcendence and Algebraic Independence of Certain Continued Fractions", Mh. Math, 117, pp.255~262 (1994)

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