Sieve theory and applications

Abstract

[en] The object of this Master Thesis is the study of 1) sieve theory 2) a theorem due to J. Chen (1966) stating that every even large enough number is the sum of an odd prime and a product of at most two primes. The proof of said theorem makes great use of sieving techniques. Thus, this Master Thesis’ purpose is to introduce the required sieving methods in order to fully understand their application in said theorem’s proof, as well as providing a proof of the theorem.