Gaps in Taylor series of algebraic functions

Abstract

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.

References in corpus (1)

• On vanishing coefficients of algebraic power series over fields of positive characteristic

Cited by in corpus (1)

• Support of Laurent series algebraic over the field of formal power series