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On the distribution of multiples of real numbers

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Publication:651414
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DOI10.1007/s00605-011-0316-2zbMath1323.11061OpenAlexW2136695081MaRDI QIDQ651414

Tanguy Rivoal

Publication date: 13 December 2011

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0316-2


zbMATH Keywords

Diophantine approximationcontinued fractionsFourier seriesLagrange spectrum


Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Markov and Lagrange spectra and generalizations (11J06) Diophantine approximation in probabilistic number theory (11K60)


Related Items (2)

The approximate functional equation of some Diophantine series ⋮ On the distribution of multiples of real numbers



Cites Work

  • On the distribution of multiples of real numbers
  • The circular dispersion spectrum
  • On convergence and growth of partial sums of Fourier series
  • Extremality Properties of Some Diophantine Series
  • Comparing the distribution of (nα)-sequences
  • RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
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