Lethbridge Number Theory and Combinatorics Seminar: Amir Akbary

We describe heuristics for several well-known density conjectures in prime number theory and elliptic curves theory. In each case we show how one can arrive at explicit expressions for density constants. The conjectures include twin prime conjecture, Bateman-Horn conjecture, Artin's primitive root conjecture, and Koblitz-Zywina conjecture.