Timeline for Is 0.24681012141618202224... transcendental?
Current License: CC BY-SA 3.0
16 events
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| May 2, 2017 at 18:25 | comment | added | Todd Trimble | See also en.wikipedia.org/wiki/Champernowne_constant, which is quite similar in nature. | |
| May 1, 2017 at 18:52 | history | edited | user10290 |
Added tag
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| May 1, 2017 at 18:49 | comment | added | user10290 | I'm sorry but there was another tag - I think it was transcendental number theory that someone added. I removed it at first, but if you want to add it again that is great. Thanks! | |
| Apr 30, 2017 at 8:34 | history | edited | user10290 |
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| Apr 30, 2017 at 7:41 | comment | added | user10290 | Thank you for the references! This is very nice to know! | |
| Apr 30, 2017 at 7:39 | vote | accept | CommunityBot | moved from User.Id=10290 by developer User.Id=35285 | |
| S Apr 30, 2017 at 7:25 | history | suggested | Martin Sleziak |
Added tags related to transcendental numbers - see also https://meta.mathoverflow.net/questions/3044/the-tags-transcendence-and-transcendental-number-theory
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| Apr 30, 2017 at 7:09 | review | Suggested edits | |||
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| Apr 30, 2017 at 6:56 | comment | added | Gerry Myerson | @dhy, if you shift it left 2 places and subtract (that is to say, if you multiply by 99), the 101214161820...949698 part becomes 020202...0202. Shift left 3 places and see what happens to 100102104...994996998. | |
| Apr 30, 2017 at 6:23 | answer | added | José Hdz. Stgo. | timeline score: 58 | |
| Apr 30, 2017 at 2:05 | comment | added | dhy | @AndrésE.Caicedo Is it easy to write down what the relevant rational approximations are? I don't see how to do it immediately. | |
| Apr 30, 2017 at 1:03 | comment | added | Andrés E. Caicedo | For a proof of Roth's theorem, I suggest for instance Chapter 6 of MR2216774 (2007a:11092) Reviewed. Bombieri, Enrico(1-IASP); Gubler, Walter(D-DORT), Heights in Diophantine geometry. New Mathematical Monographs, 4. Cambridge University Press, Cambridge, 2006. xvi+652 pp. ISBN: 978-0-521-84615-8; 0-521-84615-3. | |
| Apr 30, 2017 at 1:03 | comment | added | Andrés E. Caicedo | The methods required to deal with the numbers you ask about are explained in sections 1.6 and 1.7 of that book. The result follows from the highly nontrivial Roth's theorem, for which there are several very good (but somewhat sophisticated) references (the book does not include a complete proof of this result). | |
| Apr 30, 2017 at 0:57 | comment | added | Andrés E. Caicedo | An excellent reference for results on transcendental number theory is MR2077395 (2005f:11145) Reviewed. Burger, Edward B.(1-WLMS); Tubbs, Robert(1-CO), Making transcendence transparent. An intuitive approach to classical transcendental number theory. Springer-Verlag, New York, 2004. x+263 pp. ISBN: 0-387-21444-5. | |
| Apr 30, 2017 at 0:43 | comment | added | Andrés E. Caicedo | Both are transcendental, and neither is really harder to establish than the other. | |
| Apr 30, 2017 at 0:40 | history | asked | user10290 | CC BY-SA 3.0 |