On the Pythagoras numbers of real analytic curves.

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Acquistapace, Francesca and Broglia, Fabrizio and Ruiz Sancho, Jesús María (2007) On the Pythagoras numbers of real analytic curves. Mathematische Zeitschrift, 257 (1). pp. 13-21. ISSN 0025-5874

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Abstract

We show that the Pythagoras number of a real analytic curve is the supremum of the Pythagoras numbers of its singularities, or that supremum plus 1. This includes cases when the Pythagoras number is infinite.

Item Type:	Article
Uncontrolled Keywords:	Pythagoras number; Sum of squares; Analytic curve Germ;Global analytic curve
Subjects:	Sciences > Mathematics > Number theory Sciences > Mathematics > Algebraic geometry
ID Code:	15127
Deposited On:	08 May 2012 10:26
Last Modified:	02 Aug 2018 08:17

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