Establishes level of distribution 1/6 for Goldbach primes P ∩ (N-P) for almost all even N and derives two applications to representations with additional prime factors in P4 and P13.
Lectures on sieves
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abstract
These are notes of a series of lectures on sieves, presented during the Special Activity in Analytic Number Theory, at the Max-Planck Institute for Mathematics in Bonn, during the period January--June 2002.
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On the level of distribution of Goldbach primes and its applications
Establishes level of distribution 1/6 for Goldbach primes P ∩ (N-P) for almost all even N and derives two applications to representations with additional prime factors in P4 and P13.