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1995 A counterexample in the theory of local zeta functions
Roland Martin
Experiment. Math. 4(4): 299-305 (1995).


The generalized Igusa local zeta function $Z_{\Q _p}(s)$ associated to $(\SL_7,\rho)$, where $\rho$ is the Cartan product of the first, third and fifth fundamental representations of $\SL_7$, is explicitly computed and shown not to satisfy the expected functional equation $$Z_{\Q _p}(s)|_{p \mapsto p^{-1}}=p^{-7s}Z_{\Q _p}(s).$$


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Roland Martin. "A counterexample in the theory of local zeta functions." Experiment. Math. 4 (4) 299 - 305, 1995.


Published: 1995
First available in Project Euclid: 14 March 2003

zbMATH: 0869.11095
MathSciNet: MR1387695

Primary: 11S40

Rights: Copyright © 1995 A K Peters, Ltd.

Vol.4 • No. 4 • 1995
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