On the parametrization of a certain algebraic curve of genus 2

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Date
2015-11
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English
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Springer
Abstract

A parametrization of a certain algebraic curve of genus 2, given by a cubic equa-tion, is obtained. This curve appears in the study of Hermite-Pade´ approximants for a pair of functions with overlapping branch points on the real line. The suggested method of parametrization can be applied to other cubic curves as well.

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Aptekarev, A. I., Toulyakov, D. N., & Yattselev, M. L. (2016). On the parametrization of a certain algebraic curve of genus 2. Mathematical Notes, 98(5–6), 843–846. http://dx.doi.org/10.1134/S0001434615110139
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