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arXiv · 1808.02382

Spectrum of a linear differential equation over a field of formal power series

Tinhinane A. Azzouz
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Abstract

In this paper we associate to a linear differential equation with coefficients in the field of Laurent formal power series a new geometric object, a spectrum in the sense of Berkovich. We will compute this spectrum and show that it contains interesting informations about the equation.

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Tinhinane A. Azzouz. 2021-01-22. Spectrum of a linear differential equation over a field of formal power series. https://doi.org/10.1016/j.jnt.2020.11.021

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