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Lower bounds for Pythagoras numbers of function fields

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David Maximilian Grimm
2015
journal articles

Abstract

We show that the transcendence degree of a real function field over an arbitrary real base field is a strict lower bound for its Pythagoras number and a weak lower bound for all its higher Pythagoras numbers.

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https://infoscience.epfl.ch/entities/publication/fa96d865-a598-4bf2-aab3-cd9aa2faed45

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