Arithmetic volumes for lattices over \(p\)-adic rings

DOI10.1016/j.jnt.2014.02.011zbMath1305.11023OpenAlexW2144137757MaRDI QIDQ402655

Andrew Fiori

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.02.011

zbMATH Keywords

latticeorthogonal grouplocal densityarithmetic volumerepresentation density

Mathematics Subject Classification ID

General binary quadratic forms (11E16) Nonconvex bodies (11H16) Quadratic forms over local rings and fields (11E08)

Related Items (1)

Transfer and local density for Hermitian lattices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the intersection of modular correspondences
• Hirzebruch's proportionality theorem in the non-compact case
• Central derivatives of Eisenstein series and height pairings
• Local densities of representations of quadratic forms over \(p\)-adic integers (the non-dyadic case)
• Local densities of 2-adic quadratic forms
• Group schemes and local densities.
• Introduction to quadratic forms
• Algebraic modular forms
• An exact mass formula for orthogonal groups.
• Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type
• Über die analytische Theorie der quadratischen Formen
• Low-dimensional lattices. IV. The mass formula
• The 2‐adic density of a quadratic form
• An Explicit Formula for Siegel Series
• Group schemes and local densities of quadratic lattices in residue characteristic 2
• An exact mass formula for quadratic forms over number fields
• Lattice Methods for Algebraic Modular Forms on Classical Groups

This page was built for publication: Arithmetic volumes for lattices over \(p\)-adic rings