%0 Journal Article %A Acquistapace, Francesca %A Broglia, Fabrizio %A Fernando Galván, José Francisco %A Ruiz Sancho, Jesús María %T On the Hilbert 17th problem for global analytic functions %D 2004 %U https://hdl.handle.net/20.500.14352/50644 %X 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 %~