Effective Density for Inhomogeneous Quadratic Forms I: Generic Forms and Fixed Shifts

DOI10.1093/imrn/rnaa206OpenAlexW3048832858MaRDI QIDQ5068523

Shucheng Yu, Dubi Kelmer, Anish Ghosh

Publication date: 6 April 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04739

zbMATH Keywords

quadratic formsOppenheim's conjecturegeneric formseffective density

Mathematics Subject Classification ID

Minima of forms (11H50) Forms over real fields (11E10)

Related Items (9)

Explicit solutions to the Oppenheim conjecture forindefinite ternary diagonal forms ⋮ Values of inhomogeneous forms at S ‐integral points ⋮ Second moment of the light-cone Siegel transform and applications ⋮ A quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximation ⋮ Inhomogeneous Diophantine approximation for generic homogeneous functions ⋮ Adelic Rogers integral formula ⋮ On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form ⋮ Values of random polynomials in shrinking targets ⋮ Quantitative Diophantine approximation with congruence conditions

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