RT Journal Article T1 On the Hilbert 17th problem for global analytic functions A1 Acquistapace, Francesca A1 Broglia, Fabrizio A1 Fernando Galván, José Francisco A1 Ruiz Sancho, Jesús María AB 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 thesolution of the problem and the computation of Pythagoras numbers of meromorphic functions YR 2004 FD 2004-01-26 LK https://hdl.handle.net/20.500.14352/50644 UL https://hdl.handle.net/20.500.14352/50644 LA eng NO European RAAG NO Italian GNSAGA of INdAM and MIUR NO Spanish GAAR DS Docta Complutense RD 6 abr 2025