Primes and Lattice Points.
Mathematical Physics Seminar
25th January 2019, 2:00 pm – 3:00 pm
Howard House, 4th Floor Seminar Room
The study of the number of lattice points in dilated regions has a long history, with several outstanding open problems and manifold applications to mathematical physics. Another old problem is the count of the number of primes in a large interval, the subject of the Prime Number Theorem and the Riemann Hypothesis. In this lecture, I will discuss the background and foreground of these problems, and describe a new variant, in which we study the distribution of lattice points with prime coordinates.