TY  - JOUR
AU  - Ruiz Sancho, Jesús María
PY  - 1990
SN  - 0002-9939
UR  - https://hdl.handle.net/20.500.14352/58351
T2  - Proceedings of the American Mathematical Society
AB  - Hilbert's 17th Problem asked the following. Let f(x1,⋯,xn) be a real polynomial which for all real values α1,⋯,αn satisfies f(α1,⋯,αn)≥0. Is it true that f=∑(gi/hi)2 for polynomials gi,hi∈R[x1,⋯,xn]? (It was known that f=∑(gi)2, gi∈R[x1,⋯,xn], is not...
LA  - eng
M2  - 915
PB  - American Mathematical Society
KW  - Real analytic sets
KW  - real analytic manifold
KW  - sum of 2n-th powers
KW  - meromorphic functions
KW  - Hilbert's 17-th problem
KW  - Artin-Lang specialization property
KW  - excellent rings
KW  - resolution of singularities
TI  - A characterization of sums of 2nth powers of global meromorphic functions
TY  - journal article
VL  - 109
ER  -