Article
Normal Numbers Created from Primes and Polynomials
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Abstract
Given an integer D ≥ 2, a D-normal number, or simply a normal number, is a real number whose D-ary expansion is such that any preassigned sequence, of length k ≥ 1, of base D digits from this expansion, occurs at the expected frequency, namely 1/Dk. We construct large families of normal numbers using primes and polynomials.
Keywords
Key words: normal numbers, primes, polynomials.
Citation
De Koninck, J. & Katai, I. (2012). Normal numbers created from primes and polynomials. Uniform Distribution Theory, 7(2), 1–20.
J. De Koninck and I. Katai, “Normal numbers created from primes and polynomials,” Uniform Distribution Theory, vol. 7, no. 2, pp. 1–20, 2012.
De Koninck J, Katai I. Normal numbers created from primes and polynomials. Uniform Distribution Theory. 2012;7(2):1–20.
De Koninck, J. and Katai, I. (2012), ‘Normal numbers created from primes and polynomials’, Uniform Distribution Theory, 7(2), pp. 1–20.
De Koninck, Jean-Marie, and Imre Katai. “Normal Numbers Created from Primes and Polynomials.” Uniform Distribution Theory, vol. 7, no. 2, 2012, pp. 1–20.
De Koninck, Jean-Marie, and Imre Katai. “Normal Numbers Created from Primes and Polynomials.” Uniform Distribution Theory 7, no. 2 (2012): 1–20.
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Published by: Engineering Journals
