Prime ideal factorization in a number field via Newton polygons

DOI10.21136/CMJ.2021.0516-19OpenAlexW3135641670MaRDI QIDQ4994522

Lhoussain El Fadil

Publication date: 18 June 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21136/cmj.2021.0516-19

zbMATH Keywords

Newton polygonvaluationprime factorization\(\varphi\)-expansion

Mathematics Subject Classification ID

Algebraic number theory computations (11Y40) Factorization (11Y05) Polynomials (11S05)

Cites Work

• Prolongations of valuations to finite extensions
• NEWTON POLYGONS AND p-INTEGRAL BASES OF QUARTIC NUMBER FIELDS
• Factorization over local fields and the irreducibility of generalized difference polynomials
• Newton polygons of higher order in algebraic number theory

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