Timeline for Writing integers in ring of integers of number fields
Current License: CC BY-SA 3.0
20 events
| when toggle format | what | by | license | comment | |
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| Sep 24, 2018 at 21:41 | comment | added | PrimeRibeyeDeal | You may be interested in the concept of a canonical number system. One reference I know of is pdfs.semanticscholar.org/0ba0/…, but there may be better ones. | |
| Sep 10, 2015 at 2:02 | review | Close votes | |||
| Sep 10, 2015 at 20:13 | |||||
| Sep 10, 2015 at 2:01 | history | undeleted | user76479 | ||
| Sep 10, 2015 at 0:49 | history | deleted | user76479 | via Vote | |
| Sep 9, 2015 at 17:38 | review | Close votes | |||
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| Sep 9, 2015 at 16:05 | history | edited | user76479 | CC BY-SA 3.0 |
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| Sep 9, 2015 at 16:00 | history | edited | user76479 | CC BY-SA 3.0 |
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| Sep 9, 2015 at 15:59 | comment | added | David E Speyer | @Hurkyl That's equivalent. If $b \in \mathcal{O}_K$, then $b$ obeys a monic polynomial with integer coefficients of degree $\leq [K:\mathbb{Q}]$, so the integer span of all powers of $b$ is the same as the first $[K:\mathbb{Q}]$ powers. | |
| Sep 9, 2015 at 15:54 | history | edited | user76479 | CC BY-SA 3.0 |
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| Sep 9, 2015 at 15:49 | history | edited | user76479 | CC BY-SA 3.0 |
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| Sep 9, 2015 at 15:42 | history | edited | user76479 | CC BY-SA 3.0 |
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| Aug 30, 2015 at 4:22 | history | edited | user76479 | CC BY-SA 3.0 |
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| Aug 30, 2015 at 2:38 | history | edited | user76479 | CC BY-SA 3.0 |
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| Aug 30, 2015 at 2:21 | history | edited | user76479 | CC BY-SA 3.0 |
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| Aug 30, 2015 at 2:16 | comment | added | user13113 | Also, you can't always have $a_i \in \mathbb{N}$: you can have $\mathbb{Z}[b]$ be a proper subset of $\mathcal{O}_K$. I think there are number fields where $\mathbb{Z}[b]$ is a proper subring for every choice of $b$... although the actual theorem I'm remembering is that the span of $\{ 1, b, \ldots, b^{[K:\mathbb{Q}] - } \}$ is a proper subgroup of $\mathcal{O}_K$ for all $b$. | |
| Aug 30, 2015 at 2:15 | comment | added | user13113 | I would surely call it a restricted form of $b$-adic notation. | |
| Aug 30, 2015 at 2:15 | history | edited | user76479 | CC BY-SA 3.0 |
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| Aug 30, 2015 at 1:25 | history | undeleted | user76479 | ||
| Aug 30, 2015 at 1:24 | history | deleted | user76479 | via Vote | |
| Aug 30, 2015 at 1:19 | history | asked | user76479 | CC BY-SA 3.0 |