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Fibonacci numbers and semisimple continued fraction

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The ratios of any two Fibonacci numbers are expressed by means of semisimple continued fraction.

Abstract

The ratios of any two Fibonacci numbers are expressed by means of semisimple continued fraction.

참고문헌 (6)

  1. D. Burton, "Elementary Number Theory" (1994), Oxford
  2. M. Drmota, "Fibonacci numbers and continued fraction expansions" (1993), Kluwer Academic Publishers
  3. S. Kalia, "Fibonacci numbers and continued fractions", MIT PRIMES (2011)
  4. S. Katok, "Continued fractions, hyperbolic geometry, quadratic froms, in MASS Selecta, Teaching and learning advanced undergraduate mathematics" (2003), American Math. Soc
  5. F. Koken, "On Lucas numbers by the matrix method, Hacet", J. Math. Stat, 39(4), pp.471~475 (2010)
  6. T. E. Phipps, "Fibonacci and continued fractions", Aperion, 15(4), pp.534~550 (2008)

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