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Level curves of rational functions and unimodular points on rational curves.

Authors :
Pakovich, Fedor
Shparlinski, Igor E.
Source :
Proceedings of the American Mathematical Society; May2020, Vol. 148 Issue 5, p1829-1833, 5p
Publication Year :
2020

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
148
Issue :
5
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
142355093
Full Text :
https://doi.org/10.1090/proc/14928