Absolute Real Root Separation

Yann Bugeaud (1) , Andrej Dujella (2) , Tomislav Pejković (2) , Bruno Salvy (3)

1 IRMA - Institut de Recherche Mathématique Avancée
2 Department of Mathematics [Zagreb]
3 ARIC - Arithmetic and Computing

While the separation (the minimal nonzero distance) between roots of a polynomial is a classical topic, its absolute counterpart (the minimal nonzero distance between their absolute values) does not seem to have been studied much. We present the general context and give tight bounds for the case of real roots.

Domaines: Calcul formel [cs.SC]; Analyse classique [math.CA]

Yann Bugeaud, Andrej Dujella, Tomislav Pejković, Bruno Salvy. Absolute Real Root Separation. The American Mathematical Monthly, 2017, 124 (10), pp.930-936. ⟨10.4169/amer.math.monthly.124.10.930⟩. ⟨hal-01655531⟩