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Local Zeta Functions on Hermitian Forms and Its Application to Local Densities

✍ Scribed by Yumiko Hironaka

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
420 KB
Volume
71
Category
Article
ISSN
0022-314X

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✦ Synopsis

We give an explicit description of functional equations satisfied by zeta functions on the space of unramified hermitian forms over a p-adic field. Further, as an application, we give explicit expressions of local densities of integral representations of nondegenerate unramified hermitian matrices with entries in the ring of p-adic integers. 1998 Academic Press i=1 |d i * (x)| s i d+(x),

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