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- Title
- AN EXPLICIT FORMULA FOR THE EXTENDED GROSS-KEATING DATUM OF A QUADRATIC FORM
- KIAS Author
- Lee, Chul-hee,Lee, Chul-hee
- Journal
- MATHEMATICS OF COMPUTATION, 2025
- Archive
-
arXiv:1709.02772
- Abstract
- In this paper, we give a formula for the extended Gross-Keating datum of a half-integral symmetric matrix over a finite extension of Q(p) (for p > 2) or a finite unramified extension of Q(2). As an application, we describe an explicit formula for the Siegel series for Q(p). We also present the details of algorithms implemented in a Mathematica package to compute the extended Gross-Keating datum and the Siegel series.