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Jun 26, 2022 at 17:59 comment added EGME It does not seem to be true. If you try $x=10^4$ and $\epsilon=10^{-5}$, either directly in your inequality, ,or in the inequality obtained from the comment above, Mathematica will tell you this is not true. You have to be careful with your inequality because the integral fails to converge adequately.
Feb 10, 2020 at 1:54 comment added reuns $\int_{1}^{x} L(y)\lfloor x/y\rfloor\frac{\mathrm{d}y}{y} = \int_1^x \frac{\lfloor \sqrt{t}\rfloor}{2t}dt$
Feb 10, 2020 at 0:03 history edited Q_p CC BY-SA 4.0
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Feb 9, 2020 at 23:35 history edited LSpice CC BY-SA 4.0
Spelling and TeX fix
Feb 9, 2020 at 23:30 review First posts
Feb 9, 2020 at 23:42
Feb 9, 2020 at 23:29 history asked Q_p CC BY-SA 4.0