Sums of squares in rings of integers with 2 inverted

• Autorzy: Gaël Collinet
• Języki publikacji: EN

Abstrakty

EN

We prove that in a ring of S-integers containing 1/2, any totally positive element is a sum of five squares. We also exhibit examples of such rings where some totally positive elements cannot be written as the sum of four squares.

Kategorie tematyczne

• 11P05: Waring's problem and variants
• 11E25: Sums of squares and representations by other particular quadratic forms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2016
• Tom: 173
• Numer: 4
• Strony: 383-390

Daty

wydano

2016

Twórcy

autor

Gaël Collinet

• IRMA, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg, France

Identyfikatory

DOI

10.4064/aa8363-2-2016