English

Counting intrinsic Diophantine approximations in simple algebraic groups

Number Theory 2021-01-05 v1

Abstract

We establish an explicit asymptotic formula for the number of rational solutions of intrinsic Diophantine inequalities on simply-connected simple algebraic groups, at arbitrarily small scales.

Keywords

Cite

@article{arxiv.2101.01010,
  title  = {Counting intrinsic Diophantine approximations in simple algebraic groups},
  author = {Anish Ghosh and Alex Gorodnik and Amos Nevo},
  journal= {arXiv preprint arXiv:2101.01010},
  year   = {2021}
}
R2 v1 2026-06-23T21:45:21.320Z