Two exceptional classes of real numbers

DOI10.7169/FACM/1229624653zbMath1231.11085OpenAlexW1972907494MaRDI QIDQ1032770

Purusottam Rath

Publication date: 26 October 2009

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1229624653

zbMATH Keywords

distribution functionsexponential sequences

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Cites Work

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• Fractional parts of powers and Sturmian words
• A Fourier method in diophantine problems
• On the sets of uniqueness of a distribution function of {ξ(p/q)ⁿ}
• THE HAUSDORFF DIMENSION OF CERTAIN SETS RELATED TO SEQUENCES WHICH ARE NOT DENSE MOD 1
• On distribution functions of ξ(3/2)ⁿ mod 1
• On the density of sequences \(\{n_k\xi\}\)

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