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.
Title
Lower bounds for Pythagoras numbers of function fields
Published in
Commentarii Mathematici Helvetici
Pagination
11
Volume
90
Issue
2
Pages
365-375
Date
2015
Publisher
Zurich, European Mathematical Soc
ISSN
0010-2571
Record creation date
2015-09-28
