Computing periods of rational integrals

Abstract

— A period of a rational integral is the result of integrating, with respect to one or several variables, a rational function over a closed path. This work focuses particularly on periods depending on a parameter: in this case the period under consideration satisfies a linear differential equation, the Picard-Fuchs equation. I give a reduction algorithm… (More)
DOI: 10.1090/mcom/3054

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@article{Lairez2016ComputingPO, title={Computing periods of rational integrals}, author={Pierre Lairez}, journal={Math. Comput.}, year={2016}, volume={85}, pages={1719-1752} }