GAPS IN TAYLOR SERIES OF ALGEBRAIC FUNCTIONS
Seth Dutter · Bulletin of the Australian Mathematical Society · 2015
Let $f$ be a rational function on an algebraic curve over the complex numbers. For a point $p$ and local parameter $x$ we can consider the Taylor series for $f$ in the variable $x$ . In this paper we give an upper bound on the frequency with which the terms in the Taylor series have $0$ as their coefficient.