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What is Continued Fraction Period of √n about?

This paper discusses the period length of the continued fraction expansion of a number n, presenting results on average period lengths and maximum lengths based on numerical experiments. It includes definitions, theorems, and proofs related to the periodicity of continued fractions and their relation to quadratic equations with integer coefficients. The author also explores specific cases for irrationals of the form √D, providing algorithms for calculating continued fraction digits.

Author

aqsa

Language

EN