On symmetric square values of quadratic polynomials
Enrique González-Jiménez, Xavier Xarles (2011)
Acta Arithmetica
Similarity:
Enrique González-Jiménez, Xavier Xarles (2011)
Acta Arithmetica
Similarity:
S. Raghavan, R.J. Cook (1984)
Monatshefte für Mathematik
Similarity:
Mireille Car (2004)
Acta Arithmetica
Similarity:
J. Browkin, A. Schinzel (2011)
Colloquium Mathematicae
Similarity:
We prove that for every quadratic binomial f(x) = rx² + s ∈ ℤ[x] there are pairs ⟨a,b⟩ ∈ ℕ² such that a ≠ b, f(a) and f(b) have the same prime factors and min{a,b} is arbitrarily large. We prove the same result for every monic quadratic trinomial over ℤ.
Andrew Bremner (2003)
Acta Arithmetica
Similarity:
R. Cook, S. Raghavan (1986)
Acta Arithmetica
Similarity:
Andrzej Schinzel (1995)
Banach Center Publications
Similarity:
L. Hajdu, R. Tijdeman (2003)
Acta Arithmetica
Similarity:
P. N. Shrivastava (1977)
Publications de l'Institut Mathématique
Similarity:
D. Markovitch (1951)
Matematički Vesnik
Similarity:
Artur Korniłowicz (2017)
Formalized Mathematics
Similarity:
In this article, we formalize in the Mizar system [3] the notion of the derivative of polynomials over the field of real numbers [4]. To define it, we use the derivative of functions between reals and reals [9].
Arun Verma (1975)
Annales Polonici Mathematici
Similarity: