Hello everyone! This is my first post. I salute the initiative of creating a forum solely dedicated to university mathematics. I feel it is something that has been missing for a long time.
That being said, here's a nice exercise in number fields :
Let $K = \mathbb{Q} (\sqrt{p}, \sqrt{q}) $ where $p \equiv q \equiv 3 (\mod 4)$ . Compute an integral basis for $K$.
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Find an integral basis

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