Small zeros of quadratic forms over algebraic function fields

• Autorzy: Albrecht Pfister
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1997
• Tom: 79
• Numer: 3
• Strony: 221-238

Daty

wydano

1997

otrzymano

1996-07-03

Twórcy

autor

Albrecht Pfister

• Fachbereich Mathematik, Universität Mainz, 55099 Mainz, Germany

Bibliografia

• [1] J. W. S. Cassels, Bounds for the least solutions of homogeneous quadratic equations, Proc. Cambridge Philos. Soc. 51 (1955), 262-264. Addendum, Proc. Cambridge Philos. Soc. 52 (1956), 604.
• [2] J. W. S. Cassels, On the representation of rational functions as sums of squares, Acta Arith. 9 (1964), 79-82.
• [3] J. W. S. Cassels, Rational Quadratic Forms, London Math. Soc. Monographs 13, Academic Press, London, 1978.
• [4] A. Pfister, Quadratic Forms with Applications to Algebraic Geometry and Topology, London Math. Soc. Lecture Note Ser. 217, Cambridge Univ. Press, 1995.
• [5] A. Prestel, On the size of zeros of quadratic forms over rational function fields, J. Reine Angew. Math. 378 (1987), 101-112.
• [6] S. Raghavan, Bounds for minimal solutions of Diophantine equations, Nachr. Akad. Wiss. Göttingen 1975 (9), 109-114.
• [7] P. Roquette, Analytic theory of elliptic functions over local fields, Hamburg. Math. Einzelschr. 1, Vandenhoeck & Ruprecht, Göttingen, 1970.
• [8] H. P. Schlickewei and W. M. Schmidt, Quadratic forms which have only large zeros, Monatsh. Math. 105 (1988), 295-311.