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.


Published in:
Commentarii Mathematici Helvetici, 90, 2, 365-375
Year:
2015
Publisher:
Zurich, European Mathematical Soc
ISSN:
0010-2571
Keywords:
Laboratories:




 Record created 2015-09-28, last modified 2018-09-13


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