New bounds in reduction theory of indefinite ternary integral quadratic forms

DOI10.1016/j.aim.2017.06.033zbMath1393.11033OpenAlexW2729793559MaRDI QIDQ1701013

Han Li, Gregory A. Margulis

Publication date: 22 February 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2017.06.033

zbMATH Keywords

homogeneous dynamicsreduction theoryindefinite ternary quadratic forms

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Quadratic forms over global rings and fields (11E12) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Cites Work

• Effective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theory
• Effective estimates on indefinite ternary forms
• Effective equidistribution for closed orbits of semisimple groups on homogeneous spaces
• Rigidity, unitary representations of semisimple groups, and fundamental groups of manifolds with rank one transformation group
• Automorphic forms on GL (2)
• A special case of effective equidistribution with explicit constants
• A Sharp Bound for Solutions of Linear Diophantine Equations
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
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