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Reciprocal Monogenic Septinomials of Degree 2n3
Annales Mathematicae SilesianaeWe prove a new irreducibility criterion for certain septinomials in ℤ[x], and we use this result to construct infinite families of reciprocal septinomials of degree 2n3 that are monogenic for all n ≥ 1.
Jones Lenny
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Integer-valued polynomials on valuation rings of global fields with prescribed lengths of factorizations. [PDF]
Mon Hefte Math, 2023 Fadinger-Held V, Frisch S, Windisch D.
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A graph-theoretic criterion for absolute irreducibility of integer-valued polynomials with square-free denominator. [PDF]
Commun Algebra, 2020 Frisch S, Nakato S.
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Cycles of polynomial mappings in two variables over rings of integers in quadratic fields
Open Mathematics, 2004 Pezda T.
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Finding small degree factors of lacunary polynomials
, 1999 H. Lenstra
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Generating Infinite Families of Monogenic Polynomials Using a New Discriminant Formula
, 2020Recently, Otake and Shaska have given a formula for the discriminant of quadrinomials of the form f(x) = xn + t(x2 + ax + b). In their concluding remarks, they ask if a formula can be found for the discriminant of f(x) = xn + tg(x) when n > deg(g) = 3 ...
L. Jones
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