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arXiv · 1410.6705

Gaps in Taylor series of algebraic functions

Seth Dutter
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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.

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Seth Dutter. 2014-10-24. Gaps in Taylor series of algebraic functions. https://doi.org/10.1017/s0004972715000040

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