An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms

DOI10.1112/jlms.12316zbMath1458.37002arXiv1811.10340OpenAlexW3122901630MaRDI QIDQ5141857

Andreas Strömbergsson, Pankaj Vishe

Publication date: 22 December 2020

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10340

zbMATH Keywords

congruence subgroupunipotent orbitsclosed horocycles

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Diophantine approximation in probabilistic number theory (11K60) Homogeneous flows (37A17) Relations between ergodic theory and number theory (37A44)

Related Items (4)

Quantitative equidistribution and the local statistics of the spectrum of a flat torus ⋮ Polynomial effective density in quotients of \(\mathbb{H}^3\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Group actions and harmonic analysis in number theory. Abstracts from the workshop held May 7--12, 2023 ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines

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