Timeline for Asymptotic behavior of weighted sums involving the fractional part function
Current License: CC BY-SA 4.0
8 events
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Nov 16 at 11:52 | history | edited | Babar | CC BY-SA 4.0 |
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Nov 13 at 22:21 | answer | added | Henri Cohen | timeline score: 1 | |
Nov 13 at 20:57 | comment | added | Henri Cohen | I managed to find a good guess for $C(4)$: $$C(4)=\dfrac{\zeta(3)}{3}+\zeta(2)+\dfrac{1}{2}$$ Thus probably $C(m)$ is a simple linear combination of 1 and $\zeta(k)$ for $k<m$. | |
Nov 11 at 10:06 | history | edited | GH from MO |
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Nov 8 at 9:04 | history | edited | Babar | CC BY-SA 4.0 |
I added a conjecture drawing a parallel with Dirichlet's divisor problem.
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Nov 7 at 13:03 | history | edited | Babar | CC BY-SA 4.0 |
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Nov 7 at 12:36 | history | edited | Babar |
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Nov 6 at 21:48 | history | asked | Babar | CC BY-SA 4.0 |