Rings of normal and nonnormal numbers

DOI10.1007/BF02760950zbMath0789.11044OpenAlexW2071969563MaRDI QIDQ1310423

Iekata Shiokawa, Hiroyuki Kano

Publication date: 13 June 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760950

zbMATH Keywords

normal numbersWagner rings

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)

Related Items (3)

Generic point equivalence and Pisot numbers ⋮ Differencing methods for Korobov-type exponential sums ⋮ A remark on Wagner's ring of normal numbers

Cites Work

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• Continued fractions of certain normal numbers
• Algebraic independence of certain gap series
• Trigonometric sums with exponential functions and the distribution of the digits in periodic fractions
• Arithmetic properties of certain functions in several variables III
• ON THE DISTRIBUTION OF DIGITS IN PERIODIC FRACTIONS
• A general arithmetic construction of transcendental non-Liouville normal numbers from rational fractions

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