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

dc.creatorIsaac, Richard
dc.date2005-12-16
dc.date2006-09-21
dc.date.accessioned2026-07-07T06:55:26Z
dc.date.available2026-07-07T06:55:26Z
dc.descriptionWe 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.
dc.description14 pages; Lemma 6 of the original version is incorrect. This revision provides an alternative argument to get the desired result. Except for minor modifications, the revision agrees with the original through and including lemma 4. The alternative argument begins in the revision after the conclusion of Lemma 4. Additional modifications include correction of a few typos, rephrasing of some exposition, and the clarification of confusing notation for the partial difference on p. 7
dc.identifierhttps://arxiv.org/abs/math/0512404
dc.identifierhttp://arxiv.org/abs/math/0512404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106277
dc.subjectNumber Theory
dc.subject11K16
dc.titleOn the simple normality to base 2 of the square root of s, for s not a perfect square
dc.typetext

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