RT Journal Article T1 On the pythagoras numbers of real analytic surfaces A1 Acquistapace, Francesca A1 Broglia, Fabrizio A1 Fernando Galván, José Francisco A1 Ruiz Sancho, Jesús María AB We show that (i) every positive semidefinite meromorphic function germ on a surface is a sum of 4 squares of meromorphic function germs, and that (ii) every positive semidefinite global meromorphic function on a normal surface is a sum of 5 squares of global meromorphic functions. PB Société Mathématique de France SN 0012-9593 YR 2005 FD 2005 LK https://hdl.handle.net/20.500.14352/49905 UL https://hdl.handle.net/20.500.14352/49905 LA eng NO RAAG NO GNSAGA NO INdAM NO MIUR NO GAAR DS Docta Complutense RD 8 abr 2025