A remark on polynomials and the transfinite diameter

P. Erdös, E. Netanyahu

Research output: Contribution to journalArticle

1 Citation (Scopus)


The main result is the following theorem: Let E be the point set for which |Π v=1 n (Z-Z V)|<1. If the zeros z ν (ν=1, ..., n) belong to a bounded, closed and connected set whose transfinite diameter is 1-c (0<c<1), then E contains a disk of positive radius ρ, dependent only on c.

Original languageEnglish
Pages (from-to)23-25
Number of pages3
JournalIsrael Journal of Mathematics
Issue number1
Publication statusPublished - Mar 1 1973

ASJC Scopus subject areas

  • Mathematics(all)

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