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On the simple normality to base 2 of √ s , for s not a perfect square
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lehman, Richard Isaac |
| Copyright Year | 2005 |
| Abstract | On the simple normality to base 2 of √ s, for s not a perfect square Abstract Since E. Borel proved in 1909 that almost all real numbers with respect to Lebesgue measure are normal to all bases, an open problem has been whether simple irrational numbers like √ 2 are normal to any base. This paper shows that each number of the form √ s for s not a perfect square is simply normal to the base 2. The argument uses some elementary ideas in the calculus of finite differences. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0512404v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
