On the number of primes for which a polynomial is Eisenstein

zbMath1441.11247arXiv1901.09014MaRDI QIDQ5384319

Devon Rhodes, Kevin J. McGown, Shilin Ma, Mathias Wanner

Publication date: 21 June 2019

Full work available at URL: https://arxiv.org/abs/1901.09014

zbMATH Keywords

heightEisenstein polynomials

Mathematics Subject Classification ID

Primes represented by polynomials; other multiplicative structures of polynomial values (11N32) Primes (11A41)

Related Items (2)

A local to global principle for expected values ⋮ Geometric sieve over number fields for higher moments

Cites Work

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• Eisenstein polynomials over function fields
• On the number of Eisenstein polynomials of bounded height
• Polynomials irreducible by Eisenstein's criterion
• On shifted Eisenstein polynomials
• The density of shifted and affine Eisenstein polynomials
• Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First
• On the number of polynomials of bounded height that satisfy Dumas's criterion

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