We establish a relation between the gamma matrices of the functional equations satisfied by zeta functions associated with prehomogeneous vector spaces and certain integrals related to the intertwining operator of degenerate principal series representations of general linear groups.
Publié le : 2006-10-14
Classification:
zeta function,
prehomogeneous vector space,
degenerate principal series,
intertwining operator,
11F66,
11M41,
22E45
@article{1179759534,
author = {SATO, Fumihiro},
title = {Functional equations of prehomogeneous zeta functions and intertwining operators},
journal = {J. Math. Soc. Japan},
volume = {58},
number = {3},
year = {2006},
pages = { 995-1008},
language = {en},
url = {http://dml.mathdoc.fr/item/1179759534}
}
SATO, Fumihiro. Functional equations of prehomogeneous zeta functions and intertwining operators. J. Math. Soc. Japan, Tome 58 (2006) no. 3, pp. 995-1008. http://gdmltest.u-ga.fr/item/1179759534/