On the Hilbert 17th problem for global analytic functions

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Acquistapace, Francesca and Broglia, Fabrizio and Fernando Galván, José Francisco and Ruiz Sancho, Jesús María (2004) On the Hilbert 17th problem for global analytic functions. Real algebraic and analytic geometry: preprint server, 83 . pp. 1-31. (Submitted)

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Official URL: http://www.maths.manchester.ac.uk/raag/index.php?preprint=0083




Abstract

We consider Hilbert’s 17 problem for global analytic functions in a modified form that involves infinite sums of squares. This reveals an essential connection between the
solution of the problem and the computation of Pythagoras numbers of meromorphic functions


Item Type:Article
Uncontrolled Keywords:Hilbert 17th Problem; Pythagoras number; sum of squares; bad set; germs at closed sets
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:21367
Deposited On:14 May 2013 14:50
Last Modified:12 Dec 2018 15:13

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