TY - JOUR
T1 - Local Zeta Functions on Hermitian Forms and Its Application to Local Densities
AU - Hironaka, Yumiko
N1 - Funding Information:
* Partly supported by Grant-in-Aid for Scientific Research, The Ministry of Education, Science and Culture of Japan. -Current address and e-mail: Department of Mathematics, School of Education, Waseda University, Tokyo 169-8050, Japan. E-mail: hironaka mn.waseda.ac.jp.
PY - 1998/7
Y1 - 1998/7
N2 - 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.
AB - 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.
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U2 - 10.1006/jnth.1998.2237
DO - 10.1006/jnth.1998.2237
M3 - Article
AN - SCOPUS:0002096896
SN - 0022-314X
VL - 71
SP - 40
EP - 64
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 1
ER -