An explicit formula for the extended Gross-Keating datum of a quadratic form
Number Theory
2020-04-23 v2
Abstract
In this paper, we give a formula for the extended Gross-Keating datum of a quadratic form defined over a finite extension of (for ) or a finite unramified extension of . As an application, we describe an explicit formula for the Siegel series for . We also present the details of algorithms implemented in a Mathematica package to compute the extended Gross-Keating datum and the Siegel series.
Keywords
Cite
@article{arxiv.1709.02772,
title = {An explicit formula for the extended Gross-Keating datum of a quadratic form},
author = {Sungmun Cho and Tamotsu Ikeda and Hidenori Katsurada and Chul-Hee Lee and Takuya Yamauchi},
journal= {arXiv preprint arXiv:1709.02772},
year = {2020}
}
Comments
32 pages