Timeline for Estimating a sum with a fractional part
Current License: CC BY-SA 4.0
9 events
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| Oct 20, 2022 at 20:35 | comment | added | Joshua Stucky | The estimate in your question implies that the numbers $\{\frac{x}{d}\}$ would be biased to be very close to zero, that is $$ \left\{\frac{x}{d}\right\} \leq \frac{1}{(\log y)^3} $$ for many $d$, but there is (as far as I know) absolutely no reason to believe this to be the case, and least when $y$ is smaller than $x^{1/2-\varepsilon}$, say. | |
| Oct 20, 2022 at 9:01 | comment | added | Fedor Petrov | please specify the quantifiers for $x, y$, the words "pick up" and "simultaneously" seem contradictory for me | |
| Oct 20, 2022 at 7:43 | history | edited | Henri | CC BY-SA 4.0 |
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| Oct 19, 2022 at 18:29 | history | edited | GH from MO |
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| Oct 19, 2022 at 18:23 | history | edited | user493246 | CC BY-SA 4.0 |
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| Oct 19, 2022 at 18:21 | history | edited | user493246 | CC BY-SA 4.0 |
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| Oct 19, 2022 at 18:18 | history | edited | user493246 | CC BY-SA 4.0 |
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| S Oct 19, 2022 at 18:06 | review | First questions | |||
| Oct 20, 2022 at 6:05 | |||||
| S Oct 19, 2022 at 18:06 | history | asked | user493246 | CC BY-SA 4.0 |