Note on the spectrum of classical and uniform exponents of Diophantine approximation

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JournalActa Arithmetica
DateE-pub ahead of print - 25 Jun 2018
Original languageEnglish

Abstract

Using the Parametric Geometry of Numbers introduced recently by W.M. Schmidt and L. Summerer and results by D. Roy, we establish that the spectrum of the 2n exponents of Diophantine approximation in dimension n≥3 is a subset of R2n with non empty interior.

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    Research areas

  • math.NT, 11J13

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