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research article

Lower bounds for Pythagoras numbers of function fields

Grimm, David  
2015
Commentarii Mathematici Helvetici

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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Type
research article
DOI
10.4171/Cmh/356
Web of Science ID

WOS:000355752300004

Author(s)
Grimm, David  
Date Issued

2015

Publisher

European Mathematical Soc

Published in
Commentarii Mathematici Helvetici
Volume

90

Issue

2

Start page

365

End page

375

Subjects

Pythagoras number

•

real function fields

•

valuations

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CSAG  
Available on Infoscience
September 28, 2015
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/119175
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