Timeline for Question about repetition of numbers in the continued fraction of Euler-Mascheroni Constant
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 5, 2023 at 4:23 | comment | added | Timothy Chow | @mathworker21 The logic is that if someone had proved such an astounding result, it would be headline news, and we would all have heard about it. | |
| Mar 4, 2023 at 23:44 | comment | added | mathworker21 | @GeraldEdgar That logic doesn't make sense. It could be known that the E-M constant does not have $1$ infinitely often in its continued fraction expansion (though I of course doubt it). | |
| Mar 4, 2023 at 23:43 | comment | added | Gerry Myerson | Moreover, for almost all reals, $1$ appears with density about $41.5\%$ among the partial quotients in the continued fraction expansion, so it's not surprising there are a lot of ones in the expansion of $\gamma$. See en.wikipedia.org/wiki/Gauss%E2%80%93Kuzmin_distribution | |
| Mar 4, 2023 at 23:06 | comment | added | Wojowu | I believe that for almost all reals, every positive integer appears infinitely many times in the continued fraction expansion. Assuming a vague conjecture that Euler-Mascheroni constant is "generic" when it comes to the continued fraction expansion, it should have that property too. | |
| Mar 4, 2023 at 22:29 | comment | added | Gerald Edgar | Since it is not known whether the E-M constant is rational or not, of course your answer is unknown. | |
| Mar 4, 2023 at 22:20 | history | asked | Benjamin L. Warren | CC BY-SA 4.0 |