Article
On the Number of Digit Changes in Base-B Expansions of Algebraic Numbers
Authors
Abstract
Bugeaud [6] introduced the number of digit changes to measure the complexity of the base-b expansions of algebraic irrational numbers. We give lower bounds of the number of digit changes which are generalizations of results in [13]. We also study the number of occurrences of words in the binary expansions of algebraic irrational numbers.
Keywords
algebraic numbers, normal numbers, symmetric signed expansions.
Citation
Kaneko, H. (2012). On the number of digit changes in base-b expansions of algebraic numbers. Uniform Distribution Theory, 7(2), 141–168.
H. Kaneko, “On the number of digit changes in base-b expansions of algebraic numbers,” Uniform Distribution Theory, vol. 7, no. 2, pp. 141–168, 2012.
Kaneko H. On the number of digit changes in base-b expansions of algebraic numbers. Uniform Distribution Theory. 2012;7(2):141–168.
Kaneko, H. (2012), ‘On the number of digit changes in base-b expansions of algebraic numbers’, Uniform Distribution Theory, 7(2), pp. 141–168.
Kaneko, Hajime. “On the Number of Digit Changes in Base-b Expansions of Algebraic Numbers.” Uniform Distribution Theory, vol. 7, no. 2, 2012, pp. 141–168.
Kaneko, Hajime. “On the Number of Digit Changes in Base-b Expansions of Algebraic Numbers.” Uniform Distribution Theory 7, no. 2 (2012): 141–168.
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Published by: Engineering Journals
