Szego Seminar: "Bohr's absolute convergence problem and the Bohnenblust-Hille inequality"

Abstract: Abscissa of absolute and uniform convergence of Dirichlet series differ by at most 1/2. What is the worst possible distance than they can have? An important inequality that arises out of this problem, known as the Bohr's absolute convergence problem, is the Bohnenblust-Hille inequality. This talk will discuss a version of the Bohnenblust-Hille inequality, illustrating the principles behind the general version, briefly discuss the search for the best constant in a general case, as well as the universality conjecture related to the best constant. 

Host: Jeremy Cummings