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October, 2006 Functional equations of prehomogeneous zeta functions and intertwining operators
Fumihiro SATO
J. Math. Soc. Japan 58(4): 995-1008 (October, 2006). DOI: 10.2969/jmsj/1179759534


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.


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Fumihiro SATO. "Functional equations of prehomogeneous zeta functions and intertwining operators." J. Math. Soc. Japan 58 (4) 995 - 1008, October, 2006.


Published: October, 2006
First available in Project Euclid: 21 May 2007

zbMATH: 1161.11413
MathSciNet: MR2276178
Digital Object Identifier: 10.2969/jmsj/1179759534

Primary: 11F66
Secondary: 11M41 , 22E45

Keywords: degenerate principal series , intertwining operator , prehomogeneous vector space , zeta function

Rights: Copyright © 2006 Mathematical Society of Japan

Vol.58 • No. 4 • October, 2006
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