Timeline for Summation of certain series
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 30, 2013 at 9:04 | vote | accept | Subhajit Jana | ||
| Jul 30, 2013 at 9:04 | |||||
| Jul 16, 2013 at 9:07 | comment | added | Subhajit Jana | Thanks Professor Rivin. I have seen this theorem before. But pardon my ignorance, I don't understand how theorem 1 relates to my problem! I was asking about $\Re(s)>1$. Say, what is the sum $\sum_{n=1}^{\infty}\frac{\{\frac{n}{k}\}}{n^s}$? By the result mentioned in my question, sum is $(\log k)^{-1}$ if $s=1$. I wonder what about $s=2$, can we find a closed form? | |
| Jul 16, 2013 at 0:25 | history | answered | Igor Rivin | CC BY-SA 3.0 |