Sieve Methods

Selberg's sieve, Large sieve, Vaughan's identity, Bombieri-Vinogradoff theorem

Some notes.


Zhang's method

Background

  • H.Davenport, H.L. Montgomery `Multiplicative number theory', Graduate Texts in Mathematics, 74, Springer, 2000.
  • Primes in Arithmetic Progression in H.Iwaniec, E.Kowalski 'Analytic Number Theory', Colloquium Publications 53, AMS, 2004.


    • GPY and Tao-Maynard methods


    Lecture notes-GPY

    Lecture note-M_T

    Papers

  • Primes in Tuples
  • Small Gaps Between Primes Or Almost Primes
  • Smaller Gaps