Timeline for When are "normal" functions normal?
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9 events
| when toggle format | what | by | license | comment | |
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| Nov 23, 2016 at 21:47 | comment | added | Hauke Reddmann | Wow. I expected some work on the field but a whole journal "Uniform Distribution Theory"... :-) | |
| Nov 23, 2016 at 21:43 | vote | accept | Hauke Reddmann | ||
| Nov 23, 2016 at 10:51 | comment | added | Kurisuto Asutora | Concerning your question on $sin(n)$, see also the following paper (which is freely accessible) where related questions are studied: math.boku.ac.at/udt/vol08/no2/08AiHoMa.pdf | |
| Nov 22, 2016 at 21:43 | comment | added | Gerry Myerson | See also the book by Kuipers and Niederreiter. | |
| Nov 22, 2016 at 21:32 | answer | added | Robert Israel | timeline score: 1 | |
| Nov 22, 2016 at 20:44 | comment | added | Anthony Quas | Of your list, Boshernitzan's paper deals with $n^r$ for all non-integer $r>0$, $\log n$, $n\log n$. It's also known that there are constants so that $Ce^n$ is non-random by a paper of Pollington, ams.org/mathscinet-getitem?mr=540398 | |
| Nov 22, 2016 at 20:29 | comment | added | Anthony Quas | One useful reference is Boshernitzan's paper, ams.org/mathscinet-getitem?mr=1269206. This gives very general conditions for equidistribution for fractional parts of sequences that grow no faster than polynomially (it is required that $f(x)$ belongs to a "Hardy field" and is more distant than $C\log x$ from any rational polynomial). | |
| Nov 22, 2016 at 15:58 | answer | added | Jan-Christoph Schlage-Puchta | timeline score: 10 | |
| Nov 22, 2016 at 14:54 | history | asked | Hauke Reddmann | CC BY-SA 3.0 |