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 QuotientsPeriodic Continued Fractions, Restricted CFs and The Cantor Set, See Also

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