Abstract
We determine an explicit form of the Igusa local zeta function of the simple prehomogeneous vector space . As for the Igusa local zeta functions and the -adic -factors of regular reducible simple prehomogeneous vector spaces with universally transitive open orbits, a table for explicit forms is completed by our result together with the result in Hosokawa [2].
Citation
Satoshi WAKATSUKI. "The Igusa local zeta function of the simple prehomogeneous vector space ${(GL(1)^4\times SL(2n+1),\Lambda_2\oplus\Lambda_1\oplus\Lambda_1\oplus\Lambda_1)}$." J. Math. Soc. Japan 57 (1) 115 - 126, January, 2005. https://doi.org/10.2969/jmsj/1160745816
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