Abstract
THEOREM 1A (Liouville (1844)). Suppose α is a real algebraic number of degree d. Then there is a constant c(α) > 0 such that
for every rational \( \tfrac{p} {q} \) distinct from α.
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References
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W.M. Schmidt (1971d). Approximation to algebraic numbers. L’Enseignement Math. 17, 187–253.
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© 1980 Springer-Verlag Berlin Heidelberg
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(1980). Roth’s Theorem. In: Diophantine Approximation. Lecture Notes in Mathematics, vol 785. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38645-2_5
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DOI: https://doi.org/10.1007/978-3-540-38645-2_5
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