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ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS

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Publication:3008153
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DOI10.1017/S1446788710001503zbMath1238.11075MaRDI QIDQ3008153

Hajime Kaneko

Publication date: 14 June 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)



Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Distribution modulo one (11J71) Diophantine approximation in probabilistic number theory (11K60)


Related Items (4)

The digit exchanges in the rotational beta expansions of algebraic numbers ⋮ On the size of a restricted sumset with application to the binary expansion of √d ⋮ On the binary digits of $\sqrt{2}$ ⋮ On the beta-expansions of 1 and algebraic numbers for a Salem number beta




Cites Work

  • On the number of optimal base 2 representations of integers
  • Signed bits and fast exponentiation
  • On the binary expansions of algebraic numbers
  • Ergodic properties of signed binary expansions
  • Minimal expansions in redundant number systems: Fibonacci bases and greedy algorithms
  • On two notions of complexity of algebraic numbers
  • ON THE BITS COUNTING FUNCTION OF REAL NUMBERS
  • A SIGNED BINARY MULTIPLICATION TECHNIQUE
  • Rational approximations to algebraic numbers




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