A targeted Martinet search

DOI10.1090/S0025-5718-08-02178-9zbMath1213.11202MaRDI QIDQ3055133

John W. Jones, Eric Driver

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

prescribed ramificationimprimitive number fields

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Software, source code, etc. for problems pertaining to number theory (11-04)

Related Items (4)

Minimum Discriminants of Imprimitive Decic Fields ⋮ Primes in the Chebotarev density theorem for all number fields (with an appendix by Andrew Fiori) ⋮ NONSOLVABLE POLYNOMIALS WITH FIELD DISCRIMINANT 5^A ⋮ A targeted Martinet search

Uses Software

• PARI/GP

Cites Work

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• Petits discriminants des corps de nombres totalement imaginaires de degré 8. (Small discriminants of totally imaginary eight-degree number fields)
• On the computation of number fields of small discriminants including the minimum discriminants of sixth degree fields
• The minimum discriminant of totally real octic fields
• Nonsolvable nonic number fields ramified only at one small prime
• Quadratic extensions of totally real quintic fields
• Tenth degree number fields with quintic fields having one real place
• A targeted Martinet search
• Non-primitive number fields of degree eight and of signature (2,3), (4,2), and (6,1) with small discriminant
• Imprimitive Ninth-Degree Number Fields with Small Discriminants
• Septic fields with discriminant $\pm 2^a 3^b$
• Advanced Topics in Computional Number Theory
• The nonexistence of nonsolvable octic number fields ramified only at one small prime

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