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 language | English |
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Pages (from-to) | 1829-1833 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 5 |
DOIs | |
State | Published - 1 Jan 2020 |
Keywords
- Ailon and Rudnick theorem
- Blaschke product
- Unimodular points
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics