Displaying similar documents to “Sums of three squares in certain Cayley rings”

Sums of squares in rings of integers with 2 inverted

Gaël Collinet (2016)

Acta Arithmetica

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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.

Rational approximation near zero sets of functions.

Peter V. Paramonov (1989)

Publicacions Matemàtiques

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The paper deals with the relation between global rational approximation and local approximation off the zero set. Also connections with the problem f ∈ R(X) ⇒ f ∈ R(X) are studied.