Effective irrationality measures for certain algebraic numbers
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- by David Easton PDF
- Math. Comp. 46 (1986), 613-622 Request permission
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 ${(1 - x)^{1/3}}$ are employed to show, for certain integers a and b, that \[ \left | {{{(a/b)}^{1/3}} - p/q} \right | > c{q^{ - \kappa }}\quad {\text {when}} q > 0.\] Here, c and k are given as functions of a and b only.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Math. Comp. 46 (1986), 613-622
- MSC: Primary 11J68; Secondary 11J82
- DOI: https://doi.org/10.1090/S0025-5718-1986-0829632-4
- MathSciNet review: 829632