The length and other invariants of a real field

Karim Johannes Becher; David B. Leep

doi:10.1007/s00209-010-0724-3

The length and other invariants of a real field

Karim Johannes Becher
, David B. Leep

Mathematics

Producción científica: Article › revisión exhaustiva

3 Citas (Scopus)

Resumen

The length of a field is the smallest integer m such that any totally positive quadratic form of dimension m represents all sums of squares. We investigate this field invariant and compare it to others such as the u-invariant, the Pythagoras number, the Hasse number, and the Mordell function related to sums of squares of linear forms.

Idioma original	English
Páginas (desde-hasta)	235-252
Número de páginas	18
Publicación	Mathematische Zeitschrift
Volumen	269
N.º	1-2
DOI	https://doi.org/10.1007/s00209-010-0724-3
Estado	Published - oct 2011

ASJC Scopus subject areas

General Mathematics

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10.1007/s00209-010-0724-3

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abstract = "The length of a field is the smallest integer m such that any totally positive quadratic form of dimension m represents all sums of squares. We investigate this field invariant and compare it to others such as the u-invariant, the Pythagoras number, the Hasse number, and the Mordell function related to sums of squares of linear forms.",

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AU - Leep, David B.

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AB - The length of a field is the smallest integer m such that any totally positive quadratic form of dimension m represents all sums of squares. We investigate this field invariant and compare it to others such as the u-invariant, the Pythagoras number, the Hasse number, and the Mordell function related to sums of squares of linear forms.

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The length and other invariants of a real field

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ASJC Scopus subject areas

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