Positive definite rational functions of two variables which are not the sum of three squares

DOI10.1016/0022-314X(76)90104-9zbMath0331.14017OpenAlexW2059492761MaRDI QIDQ1227784

M. R. Christie

Publication date: 1976

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(76)90104-9

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Waring's problem and variants (11P05) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items

Unnamed Item, Unnamed Item, Polynomials in $\mathbb {R}[x,y$ that are sums of squares in $\mathbb {R}(x,y)$], Geometrical aspects of the level of curves., Sums of three squares of fractions of two variables, Hilbert's Seventeenth Problem and Hyperelliptic Curves

Cites Work

• On sums of squares and on elliptic curves over function fields
• Zur Darstellung definiter Funktionen als Summe von Quadraten. (To the representation of definite functions as the sum of squares)
• Etude des points d'ordre fini des variétés abéliennes de dimension un définies sur un anneau principal.
• Unnamed Item