Abstract
We develop and deepen the arguments of the previous chapter mainly by further applications of p-adic analysis. This analysis allows one to observe qualitatively new facts, for example, that the speed of growth of the maximal prime divisor of a binary form can be bounded from below. And we can deepen the bounds for rational approximations of algebraic numbers by including the p-adic metrics. We begin by investigating the solution of the Thue equation in rational numbers with denominators comprised from a fixed set of prime numbers with unknown exponents.
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© 1993 Springer-Verlag
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Sprindžuk, V.G. (1993). The Thue-Mahler equation. In: Talent, R. (eds) Classical Diophantine Equations. Lecture Notes in Mathematics, vol 1559. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073791
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DOI: https://doi.org/10.1007/BFb0073791
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-57359-3
Online ISBN: 978-3-540-48083-9
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