Oppenheim conjecture and related problems
Presenter
May 13, 2015
Keywords:
- Oppenheim conjecture
- Hardy-Littlewood conjectures
- analytic number theory
- real irrational quadratic form
- Siegel-Walfisz theorem
- counting points inside ellipsoids
- Raghunathan's theorem
- effective proofs
MSC:
- 11-xx
- 11Pxx
- 11P55
- 11P21
- 11Nxx
- 37Pxx
- 37-xx
- 11Exx
- 11E10
Abstract
The Oppenheim conjecture proved in mideighties states that the set of values at integral points of an irrational indefinite quadratic form in n>2 variables is dense in R. I will talk about the history and proof of this conjecture and will also talk about various problems related to the conjecure.