ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS-Reference-Cited by-同舟云学术

ON THE BINARY DIGITS OF ALGEBRAIC NUMBERS

Published:2010-10 Issue:2 Volume:89 Page:233-244
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

KANEKO HAJIME

Abstract

AbstractBorel conjectured that all algebraic irrational numbers are normal in base 2. However, very little is known about this problem. We improve the lower bounds for the number of digit changes in the binary expansions of algebraic irrational numbers.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference17 articles.

1. ON THE BITS COUNTING FUNCTION OF REAL NUMBERS

2. A SIGNED BINARY MULTIPLICATION TECHNIQUE

3. On two notions of complexity of algebraic numbers

4. Binary Arithmetic

5. Speeding up the computations on an elliptic curve using addition-subtraction chains

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