Timeline for Is there a "small $\omega$" number theorem?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 27, 2016 at 12:58 | answer | added | Jan-Christoph Schlage-Puchta | timeline score: 3 | |
| Oct 26, 2016 at 15:30 | comment | added | joro | There are explicit strengthening of Cramer's conjecture, though they are quite strong: en.wikipedia.org/wiki/… | |
| Oct 26, 2016 at 14:24 | comment | added | Gerhard Paseman | I am interested in conditional results, but I would also like explicit in D results. I might settle for w=C iterated log N for an unknown but provable constant C but I would want D to be 7N^{1/8} or better. Also, I am hoping to improve on known bounds between prime gaps; if I can't do that or improve upon bounds between products of two primes, maybe I can still get something on gaps between $\omega$-small numbers. Gerhard "Trying To Narrow Some Gaps" Paseman, 2016.10.26. | |
| Oct 26, 2016 at 11:18 | comment | added | joro | Cramer's conjecture gives you $\omega=1$ for D something like $C\log{(N\log{N})}^2$. Are you asking for unconditional results? | |
| Oct 25, 2016 at 22:17 | comment | added | Gerhard Paseman | Thanks. The Turk reference sounds new to me. I will check out both of them. Gerhard "Will Hop, Skip, And Jump" Paseman, 2016.10.25. | |
| Oct 25, 2016 at 22:02 | comment | added | Gerry Myerson | Not exactly what you're asking for, but there are papers about the number of distinct prime factors of the product of all the numbers in a short interval, e.g., Erdős and Turk, Products of integers in short intervals, Acta Arith 44 (1984) 147-174, and Turk, Multiplicative properties of integers in short intervals, Nederl. Akad. Wetensch. Indag. Math. 42 (1980) 429-436. | |
| Oct 25, 2016 at 21:26 | history | asked | Gerhard Paseman | CC BY-SA 3.0 |