Multiplicity of zeros of polynomials

Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940.

Elmentve itt :
Bibliográfiai részletek
Szerző: Totik Vilmos
Dokumentumtípus: Cikk
Megjelent: 2021
Sorozat:JOURNAL OF APPROXIMATION THEORY 267
Tárgyszavak:
doi:10.1016/j.jat.2021.105594

mtmt:32360730
Online Access:http://publicatio.bibl.u-szeged.hu/23760
LEADER 00914nab a2200217 i 4500
001 publ23760
005 20220301083525.0
008 220301s2021 hu o 0|| Angol d
022 |a 0021-9045 
024 7 |a 10.1016/j.jat.2021.105594  |2 doi 
024 7 |a 32360730  |2 mtmt 
040 |a SZTE Publicatio Repozitórium  |b hun 
041 |a Angol 
100 1 |a Totik Vilmos 
245 1 0 |a Multiplicity of zeros of polynomials  |h [elektronikus dokumentum] /  |c  Totik Vilmos 
260 |c 2021 
300 |a Terjedelem: 19-Azonosító: 105594 
490 0 |a JOURNAL OF APPROXIMATION THEORY  |v 267 
520 3 |a Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940. 
650 4 |a Matematika 
856 4 0 |u http://publicatio.bibl.u-szeged.hu/23760/1/multiplicity.pdf  |z Dokumentum-elérés