Level curves of rational functions nd unimodular points on rational curves

Fedor Pakovich, Igor E. Shparlinski

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We obtain an improvement and broad generalisation of a result of N. Ailon and Z. Rudnick (2004) on common zeros of shifted powers of polynomials. Our approach is based on reducing this question to a more general question of counting intersections of level curves of complex functions. We treat this question via classical tools of complex analysis and algebraic geometry.

Original languageEnglish
Pages (from-to)1829-1833
Number of pages5
JournalProceedings of the American Mathematical Society
Volume148
Issue number5
DOIs
StatePublished - 1 Jan 2020

Keywords

  • Ailon and Rudnick theorem
  • Blaschke product
  • Unimodular points

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