On computing discriminants of subfields of \(\mathbb Q(\zeta_{p^r})\)

DOI10.1006/jnth.2002.2796zbMath1031.11065OpenAlexW1483105767MaRDI QIDQ1864863

Trajano Pires da Nóbrega Neto, José Othon Dantas Lopes, J. Carmelo Interlando

Publication date: 23 March 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2002.2796

zbMATH Keywords

conductorscyclotomic fieldsDirichlet charactersdiscriminants of abelian number fieldsHasse conductor-discriminant formula

Mathematics Subject Classification ID

Class numbers, class groups, discriminants (11R29) Cyclotomic extensions (11R18) Other abelian and metabelian extensions (11R20)

Related Items (3)

SOME RESULTS ABOUT THE DISCRIMINANT OF ABELIAN NUMBER FIELDS ⋮ A new number field construction of the lattice \(E_8\) ⋮ Upper bounds for the Euclidean minima of abelian fields of odd prime power conductor

Cites Work

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