Timeline for answer to Proposals for polymath projects by Sylvain JULIEN
Current License: CC BY-SA 3.0
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| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2015 at 16:15 | comment | added | Sylvain JULIEN | I don't know whether Gil allows several answers from the same person, but maybe finding the best possible upper bound for the quantity $\beta$ defined as $\inf\{C\mid p_{n+1}-p_{n}\ll\log^{C} p_{n}\}$ assuming it's finite could me more tractable. | |
| Sep 30, 2015 at 19:03 | comment | added | Gil Kalai | This is indeed a very famous problem. Probably aiming to show that $\zeta (5)$ is irrational, or better perhaps improving quantitatively the results by Ball and Rivoal regarding values of zeta functions at odd integers would be a good project. It is not impossible that in the sequence $a_n$ with , $a_1=$Aperi, $a_2=$ Ball-Rivoal, ... some later terms will have relevance to Euler's constant. | |
| Sep 30, 2015 at 16:53 | comment | added | Vesselin Dimitrov | What problem could be more famous than this? It was the dream of many great number theorists. | |
| Sep 30, 2015 at 15:36 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Sep 30, 2015 at 11:41 | history | answered | Sylvain JULIEN | CC BY-SA 3.0 |