Monogenic dihedral quartic extensions

DOI10.1007/s11139-018-0049-0zbMath1462.11104OpenAlexW2890530953WikidataQ129268662 ScholiaQ129268662MaRDI QIDQ2011357

Henry H. Kim

Publication date: 6 December 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-018-0049-0

zbMATH Keywords

monogenic extensionscounting number fielddihedral quartic extensionsdiscriminants of fields

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42)

Cites Work

• Unnamed Item
• On the representation of a number as the sum of a square and a product
• Power bases in dihedral quartic fields
• Enumerating quartic dihedral extensions of \(\mathbb Q\) with signatures.
• Integral bases for quartic fields with quadratic subfields
• Squarefree values of polynomial discriminants. I
• On the number of divisors of quadratic polynomials
• Asymptotics of number fields and the Cohen-Lenstra heuristics
• Handbook of Number Theory I
• On the number of integral ideals of given norm and ray‐class
• Power free values of polynomials

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