Let Q 1 , Q 2 # Z[X, Y, Z] be two ternary quadratic forms and u 1 , u 2 # Z. In this paper we consider the problem of solving the system of equations (1) Q 2 (x, y, z)=u 2 in x, y, z # Z with gcd(x, y, z)=1. According to Mordell [12] the coprime solutions of can be presented by finitely many expr
The Number of Pairs of Quadratic Forms overFq (qodd)
β Scribed by G.D. Williams
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 182 KB
- Volume
- 4
- Category
- Article
- ISSN
- 1071-5797
No coin nor oath required. For personal study only.
β¦ Synopsis
The number of equivalence classes of pairs of quadratic forms in dimension n over F O (q odd) is shown to equal the coefficient of tL in the expansion of L 5
This is reminiscent of a corresponding formula of Gow and Waterhouse for single asymmetric bilinear forms.
π SIMILAR VOLUMES
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