The density of shifted and affine Eisenstein polynomials

DOI10.1090/proc/13097zbMath1407.11134arXiv1507.02753OpenAlexW3101595777MaRDI QIDQ2821727

Reto Schnyder, Giacomo Micheli

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.02753

zbMATH Keywords

polynomials\(p\)-adic integersnatural density

Mathematics Subject Classification ID

Density theorems (11R45) Polynomials (irreducibility, etc.) (11R09) Polynomials (11S05)

Related Items (4)

A local to global principle for expected values ⋮ Geometric sieve over number fields for higher moments ⋮ On Rectangular Unimodular Matrices over the Algebraic Integers ⋮ On the number of primes for which a polynomial is Eisenstein

Uses Software

• SageMath

Cites Work

• Unnamed Item
• On the number of Eisenstein polynomials of bounded height
• Polynomials irreducible by Eisenstein's criterion
• The Cassels-Tate pairing on polarized Abelian varieties
• On shifted Eisenstein polynomials

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