Tohoku Mathematical Journal
2025
March
SECOND SERIES VOL. 77, NO. 1

Tohoku Math. J.
77 (2025), 55-75

Title AN INDUCTIVE FORMULA FOR THE GROSS-KEATING INVARIANT OF A QUADRATIC FORM

Author Sungmun Cho, Tamotsu Ikeda, Hidenori Katsurada, Chul-hee Lee and Takuya Yamauchi

(Received March 8, 2023, revised April 25, 2023)
Abstract. In this paper we provide an alternative but more straightforward inductive formula to compute the Gross-Keating invariant for a quadratic form defined over an unramified finite extension of $\mathbb{Z}_2$.

Mathematics Subject Classification. {Primary 11E08; Secondary 11E95.
Key words and phrases. Quadratic forms, Gross-Keating invariant, Siegel-Eisenstein series, Siegel series.

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