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On the measure of approximation of the number π by algebraic numbers
Mathematical Notes, 1999By means of the method of the Laurent interpolation determinant, it is proved that, if ζ is an algebraic number, the real numbersd andL satisfy the inequalitiesd≥degζ,L≥L(ζ), andL≥3, and the numberd is sufficiently large, then the inequality $$|\pi - \varsigma | \geqslant \exp (
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On the Number of Good Simultaneous Approximations to Algebraic Numbers
1991The present work is a continuation of [2] by J. Mueller and the author, where approximations to a single number had been considered. Again it will be convenient to begin with approximations to real numbers in general.
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Kernel Approximation on Algebraic Varieties
SIAM Journal on Applied Algebra and Geometry, 2023Jason Altschuler, Pablo A Parrilo
exaly
Approximation to real numbers by cubic algebraic integers I
Proceedings of the London Mathematical Society, 2004Damien Roy
exaly
Rational quadratic approximation to real algebraic curves
Computer Aided Geometric Design, 2004Xiao-Shan Gao
exaly
Regular algebraic curve segments (II)—Interpolation and approximation
Computer Aided Geometric Design, 2000Chandrajit Bajaj, Guoliang Xu
exaly
Rational Approximations to Certain Algebraic Numbers
Proceedings of the London Mathematical Society, 1964openaire +1 more source