On the Gross-Keating invariant of a quadratic form over a non-archimedean local field

DOI10.1353/ajm.2018.0046zbMath1417.11026arXiv1504.07330OpenAlexW2963601599WikidataQ128863726 ScholiaQ128863726MaRDI QIDQ4621996

Hidenori Katsurada, Tamotsu Ikeda

Publication date: 8 February 2019

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.07330

zbMATH Keywords

quadratic formlocal fieldClifford invariantreduced formGross-Keating invariant$p$-adic integers

Mathematics Subject Classification ID

(p)-adic theory (11E95) Quadratic forms over local rings and fields (11E08)

Related Items (5)

An explicit formula for the Siegel series of a quadratic form over a non-Archimedean local field ⋮ Derivatives of Eisenstein series of weight 2 and intersections of modular correspondences ⋮ Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift ⋮ On the local density formula and the Gross-Keating invariant with an appendix `The local density of a binary quadratic form' by T. Ikeda and H. Katsurada ⋮ A reformulation of the Siegel series and intersection numbers

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