Restricted Partial Quotients

Restricted Partial Quotients

In mathematics, and more particularly in the analytic theory of regular continued fractions, an infinite regular continued fraction x is said to be restricted, or composed of restricted partial quotients, if the sequence of denominators of its partial quotients is bounded; that is

and there is some positive integer M such that all the (integral) partial denominators ai are less than or equal to M.

Read more about Restricted Partial Quotients:  Periodic Continued Fractions, Restricted CFs and The Cantor Set, See Also

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