Timeline for Norm related to diophantine approximation?
Current License: CC BY-SA 4.0
11 events
when toggle format | what | by | license | comment | |
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S Apr 10, 2023 at 13:03 | history | suggested | The Amplitwist | CC BY-SA 4.0 |
fixed broken link to springerlink.com; added full citation using the citation helper
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Apr 10, 2023 at 10:03 | comment | added | The Amplitwist |
The link to mathoverflow.net/howtoask in a comment above is broken, but a copy is saved on the Wayback Machine. The current Help Center article can be found here: How do I ask a good question?
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Apr 10, 2023 at 10:00 | review | Suggested edits | |||
S Apr 10, 2023 at 13:03 | |||||
Jan 24, 2012 at 0:35 | comment | added | Darren Ong | Wadim and Charles, you're right. After thinking through more clearly, it has to be the distance to the integers. Thanks a bunch! | |
Jan 24, 2012 at 0:32 | comment | added | Wadim Zudilin | Darren, I don't have access to Springer, but already your first borrowing makes clear that $k$ means and integer and $\|\ \|$ is the distance from a real number to the nearest integer (without the "strong" appearance of $\log(1+|k|)$, the estimate is guaranteed by Dirichlet's theorem. | |
Jan 23, 2012 at 23:40 | comment | added | Darren Ong | Charles: I don't think so. Or at least that suggestion doesn't clarify the second example in particular. My guess is that the norm is related to c(x) in the wikipedia page en.wikipedia.org/wiki/Diophantine_approximation | |
Jan 23, 2012 at 23:38 | history | edited | Darren Ong | CC BY-SA 3.0 |
added another example of the norm's usage
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Jan 23, 2012 at 23:11 | comment | added | Charles Matthews | Is it just the distance to the integers? | |
Jan 23, 2012 at 23:02 | history | edited | Darren Ong | CC BY-SA 3.0 |
C is just an arbitrary constant
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Jan 23, 2012 at 22:42 | comment | added | David Roberts♦ | For people who don't want to download the paper, or don't have a subscription to the journal, please put some actual detail in this question. e.g. the formula for the norm, and write out the context yourself. Read mathoverflow.net/howtoask for reasons why. | |
Jan 23, 2012 at 22:36 | history | asked | Darren Ong | CC BY-SA 3.0 |