Distribution of orders in number fields

DOI10.1186/s40687-015-0027-8zbMath1381.11107arXiv1408.1374OpenAlexW2104537582WikidataQ59412403 ScholiaQ59412403MaRDI QIDQ2347893

Nathan Kaplan, Ramin Takloo-Bighash, Jake Marcinek

Publication date: 10 June 2015

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1374

zbMATH Keywords

orders\(p\)-adic and motivic integrationsubring zeta function

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Other Dirichlet series and zeta functions (11M41) Class numbers, class groups, discriminants (11R29)

Related Items (7)

Orders in cubic number fields ⋮ Is the number of subrings of index p ^e in ℤ ⁿ polynomial in p  ? ⋮ Unnamed Item ⋮ Counting Monogenic Cubic Orders ⋮ Lower bounds for the number of subrings in \(\mathbb{Z}^n\) ⋮ Counting finite index subrings of $\mathbb Z^n$ ⋮ On the degree of polynomial subgroup growth of nilpotent groups

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