Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Abstract
2000 Mathematics Subject Classification: 11D75, 11D85, 11L20, 11N05, 11N35, 11N36,
11P05, 11P32, 11P55.The main purpose of this survey is to introduce the inexperienced reader to additive prime number theory and some related branches
of analytic number theory. We state the main problems in the field, sketch
their history and the basic machinery used to study them, and try to give a
representative sample of the directions of current research
