Siegel proved that every totally positive element of a number field K is the sum of four
squares, so in particular the Pythagoras number is uniformly bounded across number fields …

Denseness results in the theory of algebraic fields - ScienceDirect Skip to main contentSkip to
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Pseudo algebraically closed, pseudo real closed, and pseudo p-adically closed fields are
examples of unstable fields that share many similarities, but have mostly been studied …

We give a construction of a large first-order definable family of subrings of finitely generated
fields $ K $ of any characteristic. We deduce that for any such $ K $ there exists a first-order …

The subject of this thesis is a systematic investigation of quasi-ordered rings. A quasi-
ordering≼, sometimes also called preordering, is usually understood to be a binary, reflexive …

Esta tesis tiene como propósito estudiar soluciones no triviales de ciertos polinomios
homogéneos de grado dos en un cuerpo K de caracterıstica diferente de dos. Los …

Siegel proved that every totally positive element of a number field K is the sum of four
squares, so in particular the Pythagoras number is uniformly bounded across number fields …