Acquistapace, FrancescaBroglia, FabrizioRuiz Sancho, Jesús María2023-06-202023-06-2020070025-587410.1007/s00209-007-0107-6https://hdl.handle.net/20.500.14352/49899We 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.engOn the Pythagoras numbers of real analytic curves.journal articlehttp://www.springerlink.com/content/v7545081u3w74649/fulltext.pdfhttp://www.springerlink.com/restricted access512.7511Pythagoras numberSum of squaresAnalytic curve GermGlobal analytic curveTeoría de númerosGeometria algebraica1205 Teoría de Números1201.01 Geometría Algebraica