On the simple normality to base 2 of the square root of s, for s not a perfect square

Details On the simple normality to base 2 of the square root of s, for s not a perfect square On the simple normality to base 2 of the square root of s, for s not a perfect square

2005-12-16

arxiv.org/abs/math/0512404v2

Mathematics

Number Theory

14 pages; Lemma 6 of the original version is incorrect. This revision provides an alternative argument to get the desired resu

Scientific paper

We show that each number of the form, the square root of s for s not a
perfect square, is simply normal to the base 2. The argument uses some
elementary ideas from the calculus of finite differences.

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