Timeline for Transcendence of solutions of $\sum_{i=1}^n a_i b_i^x = 1$
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 8, 2015 at 6:38 | vote | accept | Manuel Eberl | ||
| May 7, 2015 at 18:44 | answer | added | Robert Israel | timeline score: 5 | |
| May 7, 2015 at 14:54 | comment | added | Gerald Edgar | Of course the solution of $$ \left(\frac{1}{3}\right)^x + \left(\frac{3}{4}\right)^x = 2 $$ is rational, and the solution of $$ \left(\frac{1}{3}\right)^x + \left(\frac{3}{4}\right)^x = \frac{13}{12} $$ is rational. And of course there are many more like this. So any proof that your number is transcendental seems unlikely to me. See? I can do "seems to me" statements, too. | |
| May 7, 2015 at 14:40 | comment | added | Manuel Eberl | I have no idea what you mean by that. | |
| May 7, 2015 at 13:54 | comment | added | Matemáticos Chibchas | And certainly every number also looks like a computable number. | |
| May 7, 2015 at 12:59 | comment | added | Gerry Myerson | Every number looks like a transcendental number. Also, every number looks like an algebraic irrational, and every number looks like a rational number. | |
| May 7, 2015 at 11:09 | history | asked | Manuel Eberl | CC BY-SA 3.0 |