Number of ideals in a ring of algebraic integers with bounded norm

Asked Jul 09 '13 at 20:36

Active Jul 09 '13 at 20:39

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Let $K$ be a number field and $\mathcal{O}_K$ to be the ring of algebraic integers. I was wondering if there is some sort of asymptotic formula or bound for say number of ideals in $\mathcal{O}_K$, with norm less than $X$.

I would also appreciate any reference too! Thank you!

edited Jul 09 '13 at 20:39

Zev Chonoles

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asked Jul 09 '13 at 20:36

Tom Mosher

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This is answered here http://math.stackexchange.com/questions/92426/how-many-elements-in-a-number-field-of-a-given-norm by Bruno with the equation $\sum_{n \le N} a_n \sim C_K N$ – Cocopuffs Jul 09 '13 at 20:42

Number of ideals in a ring of algebraic integers with bounded norm

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