Approximation by Algebraic Numbers

118 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

POLYNOMIAL ROOT SEPARATION (2010, background): “We can remove this restriction (and assume only that α 1 , . . . , α k are distinct) without changing the values of e(d), . . . since, in view of Gelfond's Lemma (see Lemma A.3 in [4]), we have H (P Q) ≍ H (P ) · H (Q) for every non-zero integer polynomials P (X) and Q(X).”
Diophantine approximation and Cantor sets (2008, background): “8 in [5].”
Transcendence of Periods: The State of the Art (2006, background): “A more ambitious goal would be to ask whether real or complex periods behave, from the point of view of Diophantine approximation by algebraic numbers, like almost all real or complex numbers [16, 59] Question 3.”
Sets of exact approximation order by rational numbers (2003, unknown): “, [3]) that if ξ = [a0; a1, a2, .”
On the Maillet-Baker continued fractions (2005, unknown): “[7], Corollary A.”