%0 Journal Article
%A Acquistapace, Francesca
%A Broglia, Fabrizio
%A Fernando Galván, José Francisco
%A Ruiz Sancho, Jesús María
%T On the pythagoras numbers of real analytic surfaces
%D 2005
%@ 0012-9593
%U https://hdl.handle.net/20.500.14352/49905
%X 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.
%~