Publication: On the pythagoras numbers of real analytic surfaces
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2005
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Société Mathématique de France
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Abstract
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.
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