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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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Official URL: http://www.springerlink.com/content/v7545081u3w74649/fulltext.pdf
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 |
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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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