Lower bounds for Pythagoras numbers of function fields (Q2351854)

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Lower bounds for Pythagoras numbers of function fields
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    Lower bounds for Pythagoras numbers of function fields (English)
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    26 June 2015
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    Summary: 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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    Pythagoras number
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    real function fields
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    valuations
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