English

On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form

Number Theory 2019-05-30 v1 Dynamical Systems

Abstract

We prove an analogue of the Oppenheim conjecture for a system comprising an inhomogeneous quadratic form and a linear form in 33 variables using dynamics on the space of affine lattices.

Keywords

Cite

@article{arxiv.1905.12234,
  title  = {On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form},
  author = {Prasuna Bandi and Anish Ghosh},
  journal= {arXiv preprint arXiv:1905.12234},
  year   = {2019}
}