Timeline for Variants of Grönwall's theorem
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 31, 2010 at 16:26 | vote | accept | nikmil | ||
| Jun 16, 2010 at 1:00 | answer | added | Will Jagy | timeline score: 2 | |
| Jun 15, 2010 at 23:17 | comment | added | Wadim Zudilin | @nikmil: another important part of any question is motivation for it; this could encourage people to response. | |
| Jun 15, 2010 at 22:53 | comment | added | nikmil | I'm sorry for not being clear enough, it's my first question here, though. I mean similar statments for the $\sigma(n)$ function, not necessarily asymptotics, but anything that involves limit points of the function $\frac{\sigma(n)}{n \log \log n}$. For example, is there an important sequence $a_n$ such that $\frac{\sigma{a_n}}{n \log \log n}$ converges, besides the sequence of primes? A result that establishes the connection between the density and the limit superior? Etc. Nothing particular. | |
| Jun 15, 2010 at 15:02 | comment | added | Gjergji Zaimi | Maybe a statement with $\limsup_{\begin{smallmatrix}n\to \infty \cr n\in S\end{smallmatrix}}(\cdots)=d_S e^{\gamma}$. Where $d_S$ is the density of $S$. | |
| Jun 15, 2010 at 14:50 | comment | added | Wadim Zudilin | I fixed the typos. Theorem 9 in the cited preprint contains 5 more similar asymptotics. I wonder what is wanted. | |
| Jun 15, 2010 at 14:49 | history | edited | Wadim Zudilin | CC BY-SA 2.5 |
typos fixed
|
| Jun 15, 2010 at 13:47 | comment | added | Andrés E. Caicedo | "that have been proven here," Where? | |
| Jun 15, 2010 at 11:29 | comment | added | Wadim Zudilin | Do you mean "similar statements" for the sum of divisors function $\sigma(n)=\sum_{d\mid n}d$? Because there are plenty of other multiplicative function for which similar asymptotics are known. | |
| Jun 15, 2010 at 10:29 | history | asked | nikmil | CC BY-SA 2.5 |