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• W2342173853 abstract "Following an approach originally due to Mahler and sharpened by Chud- novsky, we develop an explicit version of the multi-dimensional ''hypergeometric method'' for rational and algebraic approximation to algebraic numbers. Consequently, if a; b and n are given positive integers with nZ 3, we show that the equation of the title possesses at most one solution in positive integers x; y. Further results on Diophantine equations are also presented. The proofs are based upon explicit Padeapproximations to systems of binomial functions, together with new Chebyshev-like estimates for primes in arithmetic progressions and a variety of computational techniques." @default.
• W2342173853 created "2016-06-24" @default.
• W2342173853 creator A5049040505 @default.
• W2342173853 date "2001-01-01" @default.
• W2342173853 modified "2023-09-27" @default.
• W2342173853 title "Rational approximation to algebraic numbers of small height: the Diophantine equation" @default.
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• W2342173853 hasPublicationYear "2001" @default.
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