JournalscmhVol. 90, No. 2pp. 365–375

Lower bounds for Pythagoras numbers of function fields

  • David Grimm

    Ecole Polytechnique Fédérale de Lausanne, Switzerland
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Abstract

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.

Cite this article

David Grimm, Lower bounds for Pythagoras numbers of function fields. Comment. Math. Helv. 90 (2015), no. 2, pp. 365–375

DOI 10.4171/CMH/356