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math.NT2012★ 2 cited
Simultaneous approximation to a real number and to its cube
Stéphane Lozier, Damien Roy
It is known that, for each real number x such that 1,x,x^2 are linearly independent over Q, the uniform exponent of simultaneous approximation to (1,x,x^2) by rational numbers is a…
math.NT2012
Rational approximation to real points on conics
Damien Roy
A point (x1, x2) with coordinates in a subfield of R of transcendence degree one over Q, with 1, x1, x2 linearly independent over Q, may have a uniform exponent of approximation by…