2-Adic volume of the homogeneous space of a quadratic form

In this paper, we provide a formula for the 2-adic volume of the homogeneous space of a quadratic form. This serves as a key ingredient in the density theorem of the unnormalized Tamagawa numbers of projective special orthogonal groups.

Authors

Jaehyun Yim (ORCID: https://orcid.org/0000-0002-7016-2502)

Institutions

Pohang University of Science and Technology (KR)

Publication Details

Journal: International Journal of Number Theory
Published: 2024-09-30
DOI: https://doi.org/10.1142/s1793042125500162
Primary Topic: advanced mathematical theories
Type: article
Field-Weighted Citation Impact: 0.00

Funders

Samsung Science and Technology Foundation

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article

2-Adic volume of the homogeneous space of a quadratic form

Jaehyun Yim

Sep 30, 2024

International Journal of Number Theory

advanced mathematical theories

article

2-Adic volume of the homogeneous space of a quadratic form

Jaehyun Yim

September 30, 2024article en

Abstract

International Journal of Number TheoryVol. 21(02)

Pohang University of Science and Technology (KR)

Samsung Science and Technology Foundation

Openalex Percentile: Top 72%

advanced mathematical theories

DOI Source OpenAlex

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2-Adic volume of the homogeneous space of a quadratic form — Jaehyun Yim · International Journal of Number Theory (2024) | TGRS Research Map | TGRS