I read from http://www.mathunion.org/fileadmin/IMU/Prizes/2014/news_release_bhargava.pdf
"If one has a quadratic polynomial, counting the number of integer lattice points in a certain region of 3-dimensional space provides information about the associated quadratic number field."
My questions are
- Suppose polynomial is $ax^2+bx+c$, what is the corresponding lattice?
Which region one should try to get information?
3.What kind of information one will get?