Level curves of rational functions nd unimodular points on rational curves

Fedor Pakovich, Igor E. Shparlinski

Research output: Contribution to journalArticlepeer-review

4 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

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'Level curves of rational functions nd unimodular points on rational curves'. Together they form a unique fingerprint.

Cite this