The first digit of the discriminant of Eisenstein polynomials as an invariant of totally ramified extensions of \(p\)-adic fields

DOI10.2140/involve.2020.13.747zbMath1476.11138OpenAlexW3112571734MaRDI QIDQ2036688

Ariel Uy, Scott Zinzer, Chad Awtrey, Sebastian Pauli, Alexander Gaura, Sandi Rudzinski

Publication date: 30 June 2021

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/involve.2020.13.747

zbMATH Keywords

invariantdiscriminant\(p\)-adic fieldEisenstein polynomial

Mathematics Subject Classification ID

Ramification and extension theory (11S15) Polynomials (11S05)

Cites Work

• A database of local fields
• On the computation of all extensions of a 𝑝-adic field of a given degree
• RAMIFICATION POLYGONS, SPLITTING FIELDS, AND GALOIS GROUPS OF EISENSTEIN POLYNOMIALS
• Unnamed Item

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