Continued Fractions

@inproceedings{Lasjaunias1999ContinuedF,
  title={Continued Fractions},
  author={Alain Lasjaunias},
  year={1999}
}
The study of continued fractions is an ancient part of elementary Number Theory. It was studied by Leonhard Euler in the 18-th century. Actually, a remarkable paper from him was translated from Latin language into English and published thirty years ago [1]. The subject has been treated very deeply by Oskar Perron at the beginning of the 20 th century, in a famous book which has been edited several times [2]. It can also be found in several books on Number Theory, among them a famous one is “An… 
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On Consecutive 1’s in Continued Fractions Expansions of Square Roots of Prime Numbers
Abstract In this note, we study the problem of existence of sequences of consecutive 1’s in the periodic part of the continued fractions expansions of square roots of primes. We prove unconditionally
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Mathematical Thought from Ancient to Modern Times
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