Slicing the stars: counting algebraic numbers
Heilbronn Number Theory Seminar
27th November 2019, 4:00 pm – 5:00 pm
Fry Building, 2.04
Masser and Vaaler gave an asymptotic formula for the number of algebraic numbers of given degree and increasing height. The problem was solved by counting lattice points in an expanding star body. We'll explain how to to estimate the volumes of slices of star bodies, which allows one to count algebraic integers, algebraic units, algebraic integers of given norm and/or trace, and more. There will be pictures. This is joint work with Robert Grizzard.