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Article . 1996
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Annales de l’institut Fourier
Article . 1996 . Peer-reviewed
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Annales de l’institut Fourier
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Article . 1996
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https://dx.doi.org/10.5802/aif...
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On the distribution on the roots of polynomials

On the distribution of the roots of polynomials
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1996 Italy English Publisher:MathDoc/Centre MersenneJournal:Annales de l'Institut Fourier, volume 46, pages 1,275-1,291 (eissn: 1777-5310, Copyright policy )
Authors: Amoroso, Francesco; Mignotte, Maurice;

doi: 10.5802/aif.1548

handle: 2318/1944845

On the distribution on the roots of polynomials

Abstract

Using classical results on conjugate functions, we give very short proofs of theorems of Erdös–Turán and Blatt concerning the angular distribution of the roots of polynomials. Then we study some examples.

Country
Italy
Related Organizations
Keywords

roots, equidistribution, polynomials, theorem of Erdös--Turán, conjugate harmonic functions, Conjugate functions, conjugate series, singular integrals, Real polynomials: location of zeros

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Average
Top 10%
Average
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gold