Counting squarefree discriminants of trinomials under abc

DOI10.1090/S0002-9939-09-09831-1zbMath1217.11093arXiv0808.0418OpenAlexW2079304050MaRDI QIDQ3182560

M. Ram Murty, Anirban Mukhopadhyay, Kotyada Srinivas

Publication date: 9 October 2009

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

Full work available at URL: https://arxiv.org/abs/0808.0418

zbMATH Keywords

irreducible polynomialsquadratic equationssquarefree discriminants

Mathematics Subject Classification ID

Quadratic extensions (11R11) Polynomials in number theory (11C08) Polynomials (irreducibility, etc.) (11R09) Other analytic theory (11R47)

Related Items (3)

On -unramified extensions over imaginary quadratic fields ⋮ Squarefree parts of discriminants of trinomials ⋮ On quadratic fields generated by discriminants of irreducible trinomials

Cites Work

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• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
• On the number of real quadratic fields with class number divisible by 3
• Note on a problem of Chowla
• Divisibility of Class Numbers of Imaginary Quadratic Fields
• The distribution of polynomials over finite fields

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