Article ID Journal Published Year Pages File Type
4594650 Journal of Number Theory 2010 35 Pages PDF
Abstract

We improve the error term in the Bombieri asymptotic sieve when the summation is restricted to integers having at most two prime factors. This results in a refined bilinear decomposition for the characteristic function of the primes that enables us to get a best possible estimate for the trigonometric polynomial over primes.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory