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January 2nd, 2019, 09:46 AM   #1
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Post Upper bound on smallest field norm divisible by p

Let $K$ be a number field, $p$ a prime ideal, $N(p)$ the norm of $p$, $P$ a principal ideal and $N(P)$ the norm of $P$.

What are the (reasonable) upper bounds for the smallest $N(P)$ such that $N(p) | $N(P)$?

Thanks for help.
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