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Rational approximation with series
Published online by Cambridge University Press: 09 April 2009
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The Siegel conjecture on the rational approximation to algebraic numbers was proved a few years ago by K. F. Roth [1] with the following theorem: Let α be any algebraic number, not rational. If has an infinity of solutions in integers h and q (q > 0) tehn k ≤ 2.
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- Copyright © Australian Mathematical Society 1961