Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)

Fumihiro Sato; Yumiko Hironaka

doi:10.1006/jnth.1999.2505

Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)

Fumihiro Sato^*, Yumiko Hironaka

^*Corresponding author for this work

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

16 Citations (Scopus)

Abstract

We give an explicit formula for local densities of integral representations of nondegenerate integral symmetric matrices of arbitrary size in the case p≠2, in terms of invariants of quadratic forms.

Original language	English
Pages (from-to)	106-136
Number of pages	31
Journal	Journal of Number Theory
Volume	83
Issue number	1
DOIs	https://doi.org/10.1006/jnth.1999.2505
Publication status	Published - 2000 Jul
Externally published	Yes

Keywords

Local densities
Quadratic forms

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jnth.1999.2505

Cite this

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title = "Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)",

abstract = "We give an explicit formula for local densities of integral representations of nondegenerate integral symmetric matrices of arbitrary size in the case p≠2, in terms of invariants of quadratic forms.",

keywords = "Local densities, Quadratic forms",

author = "Fumihiro Sato and Yumiko Hironaka",

note = "Funding Information: 1Both of the authors are partly supported by a grant-in-aid for scientific Ministry of Education, Science and Culture of Japan.",

year = "2000",

month = jul,

doi = "10.1006/jnth.1999.2505",

language = "English",

volume = "83",

pages = "106--136",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

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T1 - Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)

AU - Sato, Fumihiro

AU - Hironaka, Yumiko

N1 - Funding Information: 1Both of the authors are partly supported by a grant-in-aid for scientific Ministry of Education, Science and Culture of Japan.

PY - 2000/7

Y1 - 2000/7

N2 - We give an explicit formula for local densities of integral representations of nondegenerate integral symmetric matrices of arbitrary size in the case p≠2, in terms of invariants of quadratic forms.

AB - We give an explicit formula for local densities of integral representations of nondegenerate integral symmetric matrices of arbitrary size in the case p≠2, in terms of invariants of quadratic forms.

KW - Local densities

KW - Quadratic forms

UR - http://www.scopus.com/inward/record.url?scp=0034215541&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034215541&partnerID=8YFLogxK

U2 - 10.1006/jnth.1999.2505

DO - 10.1006/jnth.1999.2505

M3 - Article

AN - SCOPUS:0034215541

SN - 0022-314X

VL - 83

SP - 106

EP - 136

JO - Journal of Number Theory

JF - Journal of Number Theory

IS - 1

ER -

Local densities of representations of quadratic forms over p-adic integers (The non-dyadic case)

Abstract

Keywords

ASJC Scopus subject areas

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