Squarefree values of trinomial discriminants

DOI10.1112/S1461157014000436zbMath1329.11103arXiv1402.5148MaRDI QIDQ2940604

Greg Martin, Mark Thom, David W. Boyd

Publication date: 27 January 2015

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.5148

zbMATH Keywords

primesdiscriminantsquarefree values

Mathematics Subject Classification ID

Distribution of primes (11N05) Primes represented by polynomials; other multiplicative structures of polynomial values (11N32)

Related Items (15)

Monogenic reciprocal trinomials and their Galois groups ⋮ Monogenic fields arising from trinomials ⋮ Infinite families of monogenic trinomials and their Galois groups ⋮ Monogenic binomial compositions ⋮ Splitting fields of \(X^n - X -1\) (particularly for \(n=5)\), prime decomposition and modular forms ⋮ Twisted-PHS: using the product formula to solve approx-SVP in ideal lattices ⋮ \(abc\) triples ⋮ Squarefree parts of discriminants of trinomials ⋮ Monogenic cyclotomic compositions ⋮ Infinite families of non-monogenic trinomials ⋮ Monogenic polynomials with non-squarefree discriminant ⋮ Some new polynomial discriminant formulas ⋮ A BRIEF NOTE ON SOME INFINITE FAMILIES OF MONOGENIC POLYNOMIALS ⋮ On the discriminant of certain quadrinomials ⋮ Monogenic trinomials with non-squarefree discriminant

Cites Work

• Unnamed Item
• On the Oesterlé-Masser conjecture
• The Galois groups of the polynomials \(X^ n+aX\ell +b\)
• Wieferich's criterion and the abc-conjecture
• Factorization of polynomials over finite fields
• A construction of polynomials with squarefree discriminants
• Old and new conjectured diophantine inequalities
• On the Irreducibility of Certain Trinomials and Quadrinomials.
• On Cauchy–Liouville–Mirimanoff Polynomials

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