Naslov
Absolute root separation

Autori
Bugeaud, Yann ; Dujella, Andrej ; Fang, Wenjie ; Pejković, Tomislav ; Salvy, Bruno

Izvornik
Experimental mathematics (1058-6458) 31 (2022), 3; 806-813

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
polynomials, root separation

Sažetak
The absolute separation of a polynomial is the minimum nonzero difference between the absolute values of its roots. In the case of polynomials with integer coefficients, it can be bounded from below in terms of the degree and the height (the maximum absolute value of the coefficients) of the polynomial. We improve the known bounds for this problem and related ones. Then we report on extensive experiments in low degrees, suggesting that the current bounds are still very pessimistic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA