A METRIC THEOREM ON THE SIMULTANEOUS APPROXIMATION OF A ZERO BY THE VALUES OF INTEGRAL POLYNOMIALS

DOI10.1070/IM1981V016N01ABEH001292zbMath0464.10041OpenAlexW1969770060MaRDI QIDQ3915069

Vasilii Bernik

Publication date: 1981

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1981v016n01abeh001292

zbMATH Keywords

metric theoremSprindzhuk's conjecturevalues of integral polynomialssimultaneous approximation of a zero

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Diophantine approximation in probabilistic number theory (11K60)

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Simultaneous Diophantine approximation in the real and \(p\)-adic fields with nonmonotonic error function ⋮ HOW SMALL CAN POLYNOMIALS BE IN AN INTERVAL OF GIVEN LENGTH? ⋮ Algebraic points on the plane

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