Results 11 to 15 of about 15 (15)

Squarefree values of polynomial discriminants II

Forum of Mathematics, Pi
We 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, Arul Shankar, Xiaoheng Wang   +2 more
doaj   +1 more source

Classification and irreducibility of a class of integer polynomials

Open Mathematics
We 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
doaj   +1 more source

Is there a polynomial D(2X + 1)-quadruple?

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In 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
doaj   +1 more source

Single polynomials that correspond to pairs of cyclotomic polynomials with interlacing zeros

Open Mathematics, 2013
McKee James, Smyth Chris
doaj   +1 more source

An introduction to finite fibonomial calculus

Open Mathematics, 2004
Krot Ewa
doaj   +1 more source