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The mass of unimodular lattices

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Publication:2569014
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DOI10.1016/j.jnt.2005.02.007zbMath1076.11025arXivmath/0307195OpenAlexW2093081343MaRDI QIDQ2569014

Mikhail Belolipetsky, Gan, Wee Teck

Publication date: 17 October 2005

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307195


zbMATH Keywords

mass formulaunimodular latticeBruhat-Tits theory


Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Class numbers of quadratic and Hermitian forms (11E41)


Related Items

Unnamed Item ⋮ Finiteness theorems for congruence reflection groups. ⋮ Automorphisms of even unimodular lattices and equivariant Witt groups



Cites Work

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  • Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
  • On the motive of a reductive group
  • On an exact mass formula of Shimura
  • An exact mass formula for orthogonal groups.
  • Schémas en groupes et immeubles des groupes classiques sur un corps local. II : groupes unitaires
  • Haar Measure and the Artin Conductor
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