Timeline for Do number rings tend to Z?
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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May 1, 2020 at 4:51 | vote | accept | CommunityBot | ||
Apr 30, 2020 at 22:22 | answer | added | Will Sawin | timeline score: 3 | |
Apr 30, 2020 at 20:07 | comment | added | user130903 | @Will Sawin: The number n is fixed here. | |
Apr 30, 2020 at 18:20 | comment | added | Will Sawin | Isn't $B_R \cap \mathbb Z= \{0\}$ for $n$ large enough because $|1| = \sqrt{n}$ by this definition? When $n$ is sufficiently large, $B_R \cap \mathcal O_K$ will also be zero by the fact that the norm of a nonzero element of $\mathcal O_K$ is a nonzero integer and the arithmetic-geometric mean inequality. | |
Apr 30, 2020 at 18:14 | comment | added | user130903 | The complex embeddings of $K$ identify $K_{\mathbb R}$ with a real subspace of ${\mathbb C}^n$. Then you take the natural inner product on ${\mathbb C}^n$. | |
Apr 30, 2020 at 18:12 | history | edited | user130903 | CC BY-SA 4.0 |
added 2 characters in body
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Apr 30, 2020 at 18:12 | comment | added | Julian Rosen | What is the inner product on $K_{\mathbb{R}}$? | |
Apr 30, 2020 at 17:31 | history | asked | user130903 | CC BY-SA 4.0 |