The next meeting of the seminar will be held on March 28, 2014 (Friday), at 11:00, in Room 578 of the Institute of Mathematics and Informatics.

A talk on

Associative locally finite dimensional algebras with division over fields of arithmetic or algebraic-geometric type

will be delivered by Assoc. Prof. Ivan Chipchakov.

Everybody is invited.

Algebra and Logic Department, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
http://www.math.bas.bg/algebra/seminarAiL/

Abstract. This talk is a survey on classical and recent results concerning the asymptotic distribution of generalized prime numbers.

The goal of Beurling's generalized prime number theory is to replace the ordinary prime numbers by a rather arbitrary non-decreasing sequence of positive real numbers (generalized primes), consider then the multiplicative semigroup generated by it (generalized integers), and then establish relations between asymptotic properties of the counting functions of generalized primes and integers.

We will discuss various conditions that ensure the validity of the prime number theorem in this context.