Goldbach Problems Additive Problems Circle Method Sieve Methods Prime Numbers
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 31, No 1-2, (2005), 1p-74p
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.