On quadratic fields generated by discriminants of irreducible trinomials

DOI10.1090/S0002-9939-09-10074-6zbMath1218.11102arXiv0811.1300OpenAlexW1999765624MaRDI QIDQ3402164

Igor E. Shparlinski

Publication date: 2 February 2010

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

Full work available at URL: https://arxiv.org/abs/0811.1300

zbMATH Keywords

character sumsquadratic fieldsirreducible trinomialssquare-sieve

Mathematics Subject Classification ID

Quadratic extensions (11R11) Applications of sieve methods (11N36) Estimates on character sums (11L40) Polynomials (irreducibility, etc.) (11R09)

Related Items (1)

Squarefree parts of discriminants of trinomials

Cites Work

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• On quadratic fields generated by polynomials
• The square sieve and consecutive square-free numbers
• Trinomial extensions of \(\mathbb Q\) with ramification conditions.
• A general stratification theorem for exponential sums, and applications
• Counting squarefree discriminants of trinomials under abc
• The distribution of polynomials over finite fields
• Galois groups of trinomials
• Rational trinomials with the alternating group as Galois group

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