Unipotent Flows And Isotropic Quadratic Forms In Positive Characteristic

2010/10/26 by Amir Mohammadi, Mohammadi, Amir · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1010.5491

15 pages

arxiv created 2010/10/26 · arxiv updated 2010/10/27

Abstract

The analogous statement to Oppenheim conjecture over a local field of positive characteristic is proved. The dynamical argument is most involved in the case of characteristic 3.

Cited by

• Distribution of values at tuples of integer vectors under symplectic forms

Related

• On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form
• Quantitative Oppenheim Conjecture for Quadratic Forms in 5 Variables over Function Fields
• Metric Diophantine approximation over a local field of positive characteristic
• Remarks on algebraic dynamics in positive characteristic
• Prehomogeneous vector spaces and ergodic theory II