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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
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?
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
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
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