Measure estimate for $p$-adic Diophantine approximation

N. V. Budarina

Čebyševskij sbornik, Tome 23 (2022) no. 3, pp. 19-36.

Résumé

A quantitative estimate for the measure of the set of $p$-adic numbers for which the inequality $|P(x)|_p$ for $w>3n/2+2$ has a solution in integral polynomials P of degree n and of height $H(P)$ at most $Q\in\mathbb{N}$, is established.

Détail

Keywords: Metric Diophantine approximation, $p$-adic numbers, Sprindzuk theorem.

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