Local densities of alternating forms

Yumiko Hironaka; Fumihiro Sato

doi:10.1016/0022-314X(89)90058-9

Local densities of alternating forms

Yumiko Hironaka^*, Fumihiro Sato

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

We give an explicit formula for local densities of integral representations of non-degenerate alternating matrices with entries in the ring of p-adic integers in terms of elementary divisors. The proof of the formula is based on the local functional equation satisfied by the zeta function on the space of alternating forms and some properties of spherical functions.

Original language	English
Pages (from-to)	32-52
Number of pages	21
Journal	Journal of Number Theory
Volume	33
Issue number	1
DOIs	https://doi.org/10.1016/0022-314X(89)90058-9
Publication status	Published - 1989 Sept
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.1016/0022-314X(89)90058-9

Cite this

@article{ff7d450d3bb44c87a59f9e6920890a00,

title = "Local densities of alternating forms",

abstract = "We give an explicit formula for local densities of integral representations of non-degenerate alternating matrices with entries in the ring of p-adic integers in terms of elementary divisors. The proof of the formula is based on the local functional equation satisfied by the zeta function on the space of alternating forms and some properties of spherical functions.",

author = "Yumiko Hironaka and Fumihiro Sato",

note = "Funding Information: supported by a Grant-in-Aid Science and Culture, Japan.",

year = "1989",

month = sep,

doi = "10.1016/0022-314X(89)90058-9",

language = "English",

volume = "33",

pages = "32--52",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Local densities of alternating forms

AU - Hironaka, Yumiko

AU - Sato, Fumihiro

N1 - Funding Information: supported by a Grant-in-Aid Science and Culture, Japan.

PY - 1989/9

Y1 - 1989/9

N2 - We give an explicit formula for local densities of integral representations of non-degenerate alternating matrices with entries in the ring of p-adic integers in terms of elementary divisors. The proof of the formula is based on the local functional equation satisfied by the zeta function on the space of alternating forms and some properties of spherical functions.

AB - We give an explicit formula for local densities of integral representations of non-degenerate alternating matrices with entries in the ring of p-adic integers in terms of elementary divisors. The proof of the formula is based on the local functional equation satisfied by the zeta function on the space of alternating forms and some properties of spherical functions.

UR - http://www.scopus.com/inward/record.url?scp=38249025158&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249025158&partnerID=8YFLogxK

U2 - 10.1016/0022-314X(89)90058-9

DO - 10.1016/0022-314X(89)90058-9

M3 - Article

AN - SCOPUS:38249025158

SN - 0022-314X

VL - 33

SP - 32

EP - 52

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 1

ER -

Local densities of alternating forms

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this