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research article
Lower bounds for Pythagoras numbers of function fields
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.
Type
research article
Web of Science ID
WOS:000355752300004
Authors
Publication date
2015
Publisher
Published in
Volume
90
Issue
2
Start page
365
End page
375
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 28, 2015
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