Effective irrationality measures for certain algebraic numbers

Author:
David Easton

Journal:
Math. Comp. **46** (1986), 613-622

MSC:
Primary 11J68; Secondary 11J82

MathSciNet review:
829632

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Abstract | References | Similar Articles | Additional Information

Abstract: A result of Chudnovsky concerning rational approximation to certain algebraic numbers is reworked to provide a quantitative result in which all constants are explicitly given. More particularly, Padé approximants to the function are employed to show, for certain integers *a* and *b*, that

*c*and

*k*are given as functions of

*a*and

*b*only.

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DOI:
http://dx.doi.org/10.1090/S0025-5718-1986-0829632-4

Article copyright:
© Copyright 1986
American Mathematical Society