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arXiv · 0909.4509

Lectures on Non-Archimedean Function Theory

William Cherry
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Abstract

Lecture 1 discusses non-Archimedean analogs of classical complex function theory based on the Schnirelman integral. Lecture 2 discusses valuation (Newton) polygons and their consequences and presents a non-Archimedean analog of the Poisson-Jensen formula. Lecture 3 introduces non-Archimedean value distribution theory. Lecture 4 presents an introduction to Benedetto's non-Archimedean analogs of the Ahlfors Island theorems.

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William Cherry. 2009-09-24. Lectures on Non-Archimedean Function Theory. https://arxiv.org/abs/0909.4509

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