Almost strong approximations for definite quadratic spaces

DOI10.1007/s002220050169zbMath0894.11013OpenAlexW1998873958MaRDI QIDQ1365348

J. S. Hsia, M. Jöchner

Publication date: 8 September 1998

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050169

zbMATH Keywords

rotation grouplocal representationsspinorial kernelalmost strong approximation theoremsasymptotic representation of formsdefinite quadratic spacesprimitive representation by a positive definite quaternary quadratic \(\mathbb{Z}\)-latticeprimitive representation of integers by positive ternary quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12) Linear algebraic groups over global fields and their integers (20G30) Quadratic spaces; Clifford algebras (11E88)

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On almost strong approximation for some exceptional groups. ⋮ Moduli spaces and modular forms. Abstracts from the workshop held January 31 -- February 6, 2021 (hybrid meeting) ⋮ Roots of unity in definite quaternion orders ⋮ A characterization of almost universal ternary quadratic polynomials with odd prime power conductor ⋮ Kneser's method of neighbors ⋮ Simultaneous computation of Hecke operators ⋮ Eisenstein series of 3/2 weight and eligible numbers of positive definite ternary forms ⋮ Sums of three squares under congruence condition modulo a prime ⋮ Representations of codimension \(\geq 3\) by definite quadratic forms ⋮ An algebraic and analytic approach to spinor exceptional behavior in translated lattices ⋮ On almost strong approximation for algebraic groups ⋮ A characterization of almost universal ternary inhomogeneous quadratic polynomials with conductor 2

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