On the Pythagoras numbers of real analytic curves

• Autores: Francesca Acquistapace, F. Broglia, José Francisco Fernando Galván, Jesús María Ruiz Sancho
• Localización: Mathematische zeitschrift, ISSN 0025-5874, Vol. 257, Nº. 1, 2007, págs. 13-21
• Idioma: inglés
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• Resumen

  • 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