Timeline for Is there an asymptotic formula that describes the correlation of multiplicative inverses in Farey sequences?
Current License: CC BY-SA 3.0
14 events
| when toggle format | what | by | license | comment | |
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| S Apr 22, 2017 at 15:47 | history | bounty ended | CommunityBot | ||
| S Apr 22, 2017 at 15:47 | history | notice removed | CommunityBot | ||
| Apr 17, 2017 at 15:07 | comment | added | Kevin Smith | I have no idea! If it is then an explanation of how this is so would be a welcome answer. | |
| Apr 17, 2017 at 14:31 | comment | added | Sylvain JULIEN | Isn't the conjectured asymptotics moreorless equivalent to GRH ? | |
| Apr 17, 2017 at 5:24 | answer | added | Max Alekseyev | timeline score: 4 | |
| Apr 17, 2017 at 0:01 | history | edited | Kevin Smith | CC BY-SA 3.0 |
included some additional information on motivation and reason for asking
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| S Apr 14, 2017 at 14:29 | history | bounty started | Kevin Smith | ||
| S Apr 14, 2017 at 14:29 | history | notice added | Kevin Smith | Draw attention | |
| Apr 14, 2017 at 14:28 | history | edited | Kevin Smith | CC BY-SA 3.0 |
Added some new information. Explained reasons for bounty.
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| Apr 10, 2017 at 7:01 | history | edited | Kevin Smith | CC BY-SA 3.0 |
spelling, grammar, English language.
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| Apr 9, 2017 at 19:19 | comment | added | Kevin Smith | @GregMartin: Please would you include a little more on how to proceed with the summation as indicated in your comment? | |
| Apr 9, 2017 at 19:03 | comment | added | მამუკა ჯიბლაძე | Not sure if this can be useful but I find it sort of amusing - the denominator of $S(X)$ is$$\prod_{\text{prime $p\leqslant X$}}p^{\lfloor\log_p(n)\rfloor+1}$$ | |
| Apr 9, 2017 at 19:02 | comment | added | Greg Martin | You could also try the functional equation: for even characters $L(0,\chi)$ vanishes, while for odd characters $L(0,\chi) = -\frac i{\sqrt\pi} \tau(\chi) L(1,\bar\chi)$. Indeed, I think this gives $O(X^{1+\varepsilon})$ right away, and there's even some hope for an asymptotic formula. | |
| Apr 9, 2017 at 17:48 | history | asked | Kevin Smith | CC BY-SA 3.0 |