Symmetry in the functional equation of a local zeta distribution
Kable, Anthony
Tohoku Math. J. (2), Tome 58 (2006) no. 1, p. 493-507 / Harvested from Project Euclid
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We examine the structure of the coefficient matrix in the functional equation of the zeta distribution of a self-adjoint prehomogeneous vector space over a non-Archimedean local field. Under a restrictive assumption on the generic stabilizers, we show that this matrix is block upper-triangular with almost symmetric blocks; this generalizes a result of Datskovsky and Wright for the space of binary cubic forms.
Publié le : 2006-12-14
Classification:  Prehomogeneous vector space,  local functional equation,  11S90 
@article{1170347686,
     author = {Kable, Anthony},
     title = {Symmetry in the functional equation of a local zeta distribution},
     journal = {Tohoku Math. J. (2)},
     volume = {58},
     number = {1},
     year = {2006},
     pages = { 493-507},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1170347686}
}

Kable, Anthony. Symmetry in the functional equation of a local zeta distribution. Tohoku Math. J. (2), Tome 58 (2006) no. 1, pp.  493-507. http://gdmltest.u-ga.fr/item/1170347686/