E-viri
Recenzirano
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Xiao, Zheng
Mathematische Zeitschrift, 04/2024, Letnik: 306, Številka: 4Journal Article
We bound the greatest common divisor of two coprime multivariable polynomials evaluated at algebraic numbers, generalizing work of Levin, and going towards conjectured inequalities of Silverman and Vojta. As an application, we prove results on greatest common divisors of terms from two linear recurrence sequences, extending the results of Levin, who considered the case where the linear recurrences are simple, and improving recent results of Grieve and Wang. The proofs rely on Schmidt’s Subspace Theorem.
