On the distribution of roots of polynomials in sectors. III (Q2769673)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the distribution of roots of polynomials in sectors. III |
scientific article; zbMATH DE number 1701854
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distribution of roots of polynomials in sectors. III |
scientific article; zbMATH DE number 1701854 |
Statements
25 August 2002
0 references
roots of polynomials
0 references
Farey fractions
0 references
discrepancy
0 references
On the distribution of roots of polynomials in sectors. III (English)
0 references
An upper bound is proved for the discrepancy of arguments of roots of polynomials with integral coefficients, having multiple roots. Applying it to products of cyclotomic polynomials, the author obtains a result concerning the discrepancy of Farey fractions. NEWLINENEWLINENEWLINEFor Parts I, II, see the author, Lith. Math. J. 38, No. 1, 27-45 (1998; Zbl 0920.12001), ibid. 38, No. 2, 117-130 (1998; Zbl 0920.12002).NEWLINENEWLINEFor the entire collection see [Zbl 0968.00043].
0 references
