Timeline for Questions on prime integral ideal congruences
Current License: CC BY-SA 3.0
6 events
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| Nov 19, 2014 at 17:59 | history | edited | Stanley Yao Xiao | CC BY-SA 3.0 |
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| Nov 18, 2014 at 20:17 | comment | added | Stanley Yao Xiao | My apologies, I thought I had stated that $x_i$ \in $\mathbb{Z}$ | |
| Nov 18, 2014 at 20:17 | history | edited | Stanley Yao Xiao | CC BY-SA 3.0 |
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| Nov 18, 2014 at 18:09 | comment | added | Jeremy Rouse | The first question is straightforward. Let $p$ be the rational prime below $\mathcal{P}$. You can find a rational number $q$ so that $a_{1}/a_{2} \equiv q \pmod{\mathcal{P}}$ if and only if $a_{1}/a_{2} \in \mathbb{F}_{p} \subseteq \mathcal{O}_{K}/\mathcal{P}$. For the second question, where do the variables $x_{i}$ live? Are they in $\mathcal{O}_{K}$? If so, what do you mean by $|x_{i}| \leq X$? | |
| Nov 18, 2014 at 16:57 | history | edited | Stanley Yao Xiao | CC BY-SA 3.0 |
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| Nov 18, 2014 at 13:43 | history | asked | Stanley Yao Xiao | CC BY-SA 3.0 |