On Fiedler’s characterization of tridiagonal matrices over arbitrary fields
✍ Scribed by Américo Bento; António Leal Duarte
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 246 KB
- Volume
- 401
- Category
- Article
- ISSN
- 0024-3795
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📜 SIMILAR VOLUMES
Let T be a skew-symmetric Toeplitz matrix with entries in a ®nite ®eld. For all positive integers n let n be the upper n  n corner of T, with nullity m n m n . The sequence fm n X n P Ng satis®es a unimodality property and is eventually periodic if the entries of T satisfy a periodicity condition.
Some geometry of Hermitian matrices of order three over GF(q 2 ) is studied. The variety coming from rank 2 matrices is a cubic hypersurface M 3 7 of PG(8, q) whose singular points form a variety H corresponding to all rank 1 Hermitian matrices. Beside M 3 7 turns out to be the secant variety of H.
The purpose of this paper is to derive a generalization of Shimura's results concerning Fourier coefficients of Hilbert modular forms of half integral weight over total real number fields in the case of Hilbert-Maass wave forms over algebraic number fields by following the Shimura's method. Employin