Bounds for the representation of quadratic forms
β Scribed by M.A. Dickmann; F. Miraglia
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 437 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Let the column vectors of X: M\_N, M<N, be distributed as independent complex normal vectors with the same covariance matrix 7. Then the usual quadratic form in the complex normal vectors is denoted by Z=XLX H where L: N\_N is a positive definite hermitian matrix. This paper deals with a representat
In this paper, we establish an asymptotic formula, for large radius r, for the number of representations of a nonzero integer k by the Lorentzian quadratic form x 2 1 +x 2 2 + } } } +x 2 n &x 2 n+1 that are contained in the ball of radius r centered at the origin in Euclidean (n+1)-space. 1997 Acade