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Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares). (German) Zbl 0222.10022

11E25Sums of squares, etc
11R58Arithmetic theory of algebraic function fields
Full Text: DOI EuDML
[1] Artin, E.: Über die Zerlegung definiter Funktionen in Quadrate. Hamb. Abh.5, 100-115 (1927) =Collected Papers 273-288. · Zbl 52.0122.01 · doi:10.1007/BF02952513
[2] Ax, J.: On ternary definite rational functions. (To appear in Proc. London Math. Soc.) · Zbl 0266.14018
[3] Cassels, J. W. S.: On the representation of rational functions as sums of squares. Acta Arithm.9, 79-82 (1964). · Zbl 0131.25001
[4] Hilbert, D.: Über die Darstellung definiter Formen als Summe von Formenquadraten. Math. Ann.32, 342-350 (1888) =Ges. Abh. II, 154-161. · Zbl 20.0198.02 · doi:10.1007/BF01443605
[5] ?: Über ternäre definite Formen. Acta Math.17, 169-197 (1993) =Ges. Abh. II, 345-366. · doi:10.1007/BF02391990
[6] Hilbert, D. Mathematische Probleme. Göttinger Nachr. 1900, 253-297 =Ges. Abh. III, 290-329.
[7] Landau, E.: Über die Darstellung definiter Funktionen durch Quadrate. Math. Ann.62, 272-285 (1906). · Zbl 37.0252.01 · doi:10.1007/BF01449981
[8] Lang, S.: On quasi-algebraic closure. Ann. of Math.55, 373-390 (1952). · Zbl 0046.26202 · doi:10.2307/1969785
[9] ? The theory of real places. Ann. of Math.57, 378-391 (1953). · Zbl 0052.03301 · doi:10.2307/1969865
[10] Pfister, A.: Darstellung von ? 1 als Summe von Quadraten in einem Körper. London J. of Math.40, 159-165 (1965). · Zbl 0131.25002 · doi:10.1112/jlms/s1-40.1.159
[11] Pfister, A.: Multiplikative quadratische Formen. Arch. Math.16, 363-370 (1965). · Zbl 0146.26001 · doi:10.1007/BF01220043