Editing Analytic number theory (section)

==Further reading==
* Ayoub, ''Introduction to the Analytic Theory of Numbers''
* H. L. Montgomery and R. C. Vaughan, ''Multiplicative Number Theory I'' : ''Classical Theory''
* H. Iwaniec and E. Kowalski, ''Analytic Number Theory''.
* D. J. Newman, ''Analytic number theory'', Springer, 1998

On specialized aspects the following books have become especially well-known:

* {{Citation | last1=Titchmarsh | first1=Edward Charles | author1-link=Edward Charles Titchmarsh | title=The Theory of the Riemann Zeta Function | publisher=[[Oxford University Press]] | edition=2nd | year=1986}}
* H. Halberstam and H. E. Richert, ''[[sieve theory|Sieve Methods]]''
* R. C. Vaughan, ''The [[Hardy–Littlewood method]]'', 2nd. edn.

Certain topics have not yet reached book form in any depth. Some examples are
(i) [[Montgomery's pair correlation conjecture]] and the work that initiated from it,
(ii) the new results of Goldston, Pintz and Yilidrim on [[Twin prime|small gaps between primes]], and
(iii) the [[Green–Tao theorem]] showing that arbitrarily long arithmetic progressions of primes exist.

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