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math.NT2019
Minor corrections to Nipp's tables of quaternary quadratic forms
Chul-hee Lee
We make some corrections to Nipp's tables of positive definite integral quaternary quadratic forms. They only affect -adic densities and -adic Jordan splittings in the Append…
math.NT2018
Computation of Gross-Keating invariants
Chul-hee Lee
The Gross-Keating invariant of a half-integral matrix over a -adic integer ring is a fundamental concept in the study of quadratic forms, and has important applications to Siege…
math.NT2017★ 1 cited
An explicit formula for the extended Gross-Keating datum of a quadratic form
Sungmun Cho, Tamotsu Ikeda, Hidenori Katsurada +2
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 exten…