Timeline for Proof of equidistribution theorem for exponential coefficients
Current License: CC BY-SA 3.0
9 events
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| Jul 18, 2014 at 13:38 | history | edited | GH from MO | CC BY-SA 3.0 |
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| Jul 17, 2014 at 22:03 | comment | added | GH from MO | @jgonagle: See my added section. | |
| Jul 17, 2014 at 22:02 | history | edited | GH from MO | CC BY-SA 3.0 |
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| Jul 17, 2014 at 21:57 | comment | added | jgonagle | Right, that's why I want to exclude transcendentals and just focus on the algebraics. As for the use of $W$, that's just an old habit to disambiguate $N$ vs $N_0$. I really should have said $N_0$. Thanks for the tip. | |
| Jul 17, 2014 at 21:52 | comment | added | GH from MO | @jgonagle: If you ask about $2^n$ times a quadratic irrational modulo $1$, such a sequence is probably equidistributed in $(0,1)$, but I doubt it can be proved by present technology. | |
| Jul 17, 2014 at 21:50 | comment | added | GH from MO | @jgonagle: The number in my response is irrational, and probably transcendental as well. Note that transcendental is a stronger property than irrational. Also, what do you denote by $W$? The natural numbers are usually denoted by $\mathbb{N}$. | |
| Jul 17, 2014 at 21:49 | comment | added | jgonagle | Bah, I meant irrational algebraics. My bad. I've corrected it in the question above. I've still voted for your answer since you answered my original question. That's a clever construction, though I'm guessing it's not algebraic. It reminds me of Liouville's proof of the existence of transcendentals. If it is algebraic, how about the case of $a = \sqrt(x): x \in W$ since that's what I'm particularly interested in. Thanks again for the help. | |
| Jul 17, 2014 at 21:37 | vote | accept | jgonagle | ||
| Jul 17, 2014 at 21:42 | |||||
| Jul 17, 2014 at 21:11 | history | answered | GH from MO | CC BY-SA 3.0 |