A Counterexample in the Theory of Local Zeta Functions
Martin, Roland; Martin, Roland; Department of Mathematics, United States Naval Academy
Журнал:
Experimental Mathematics
Дата:
1995
Аннотация:
The generalized Igusa local zeta function Z <sub>Q<sub> p </sub> </sub> (s) associated to (SL<sub>7</sub>, ρ), where ρ is the Cartan product of the first, third and fifth fundamental representations of SL<sub>7</sub>, is explicitly computed and shown not to satisfy the expected functional equation
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