Results 11 to 20 of about 24 (24)
Squarefree values of polynomial discriminants II
Forum of Mathematics, PiWe determine the density of integral binary forms of given degree that have squarefree discriminant, proving for the first time that the lower density is positive. Furthermore, we determine the density of integral binary forms that cut out maximal orders
Manjul Bhargava +2 more
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Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
Forum of Mathematics, SigmaWe sharpen and generalize the dimension growth bounds for the number of points of bounded height lying on an irreducible algebraic variety of degree d, over any global field.
Raf Cluckers +4 more
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Classification and irreducibility of a class of integer polynomials
Open MathematicsWe find all integer polynomials of degree dd that take the values ±1\pm 1 at exactly dd integer arguments, and determine the irreducibility of these polynomials by means of an elementary approach.
Chen Yizhi, Zhao Xiangui, Zhou Xuan
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Is there a polynomial D(2X + 1)-quadruple?
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we show that there does not exist a polynomial D(2X+ 1)-quadruple {a, b, c, d}, such that 0 < a < b < c < d and deg d = deg b.
Franušić Zrinka, Jurasić Ana
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Diophantine equations in separated variables and polynomial power sums. [PDF]
Mon Hefte Math, 2021 Fuchs C, Heintze S.
europepmc +1 more source
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.
europepmc +1 more source
Smoothness Parameter of Power of Euclidean Norm. [PDF]
J Optim Theory Appl, 2020 Rodomanov A, Nesterov Y.
europepmc +1 more source