Timeline for Sum of log over friables
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 25, 2020 at 14:11 | vote | accept | Khadija Mbarki | ||
| Aug 9, 2018 at 18:18 | comment | added | LSpice | @Jan-ChristophSchlage-Puchta, well, there’s no denying that ‘friable’ is a much mathematically rarer term (as well as being quite apposite). In my field, we have the very inventive term ‘good’. :-) | |
| Aug 9, 2018 at 15:08 | comment | added | Jan-Christoph Schlage-Puchta | @LSpice: Some people prefer friable, as the word smooth already carries too many different meanings. For others friable sounds too much like fryable. | |
| Aug 9, 2018 at 13:24 | comment | added | LSpice | I'd never heard the term 'friable' for integers before. Is 'smooth' used interchangeably with 'friable'? (Perhaps it's a matter of linguistic background, since the paper you cite below is in French?) | |
| Aug 9, 2018 at 13:17 | answer | added | Khadija Mbarki | timeline score: 7 | |
| Aug 9, 2018 at 10:25 | comment | added | Gerhard Paseman | It should be close to $K(y)x\log(x/e)$ with $K(y)$ a version of Dickman's constant. (Maybe $K(\log y/\log x)$ is more standard.) You might get some improvement by a clever pairing of smooth numbers, say log(m)d(m)/2 for m a certain smooth number m larger than x. This might get you most of the sum, and then you can approximate the rest with a small multiple of log x. Gerhard "Or Try Two Large Smooths" Paseman, 2018.08.09. | |
| Aug 9, 2018 at 9:44 | history | asked | Khadija Mbarki | CC BY-SA 4.0 |