Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi !

Root separation for integer polynomials (CROSBI ID 622633)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa

Dujella, Andrej Root separation for integer polynomials // Representations of p-adic groups. 2014. str. 1-1

Podaci o odgovornosti

Dujella, Andrej

engleski

Root separation for integer polynomials

We consider the question how close to each other can be two distinct roots of an integer polynomial P(X) of degree d. We compare the distance between two distinct roots of P(X) with its height H(P), defined as the maximal of the absolute values of its coefficients. The first result in this direction in due to Mahler, who proved that the distance is > c(d)*H(P)^(-d+1), for an explicit constant c(d), depending only on d. We will present some recent results in opposite direction, obtained by constructing explicit families of irreducible and reducible polynomials of degree d whose roots are very close. This is joint work with Yann Bugeaud.

polynomials; root separation

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

1-1.

2014.

objavljeno

Podaci o matičnoj publikaciji

Representations of p-adic groups

Podaci o skupu

Representations of p-adic groups ; A conference dedicated to Marko Tadic on his 60th birthday

pozvano predavanje

16.06.2014-20.06.2014

Zagreb, Hrvatska

Povezanost rada

Matematika