

\begin{thebibliography}{10}

\bibitem{andersson}
J. Andersson, \emph{Bounded prime gaps in short intervals}, preprint.

\bibitem{banks}
W. D. Banks, T. Freiberg, J. Maynard, \emph{On limit points of the sequence of normalized prime gaps}, preprint.

\bibitem{bombieri}
E. Bombieri, \emph{Le Grand Crible dans la Th\'eorie Analytique des Nombres}, Ast\'erisque \textbf{18} (1987), (Seconde ed.). 

\bibitem{bombieri-parity}
E. Bombieri, \emph{The asymptotic sieve}, Rend. Accad. Naz. XL (5)
1/2 (1975/76), 243--269 (1977). 

\bibitem{bfi} E. Bombieri, J. Friedlander, H. Iwaniec, \emph{Primes in
    arithmetic progressions to large moduli}, Acta Math. 156
  (1986), no. 3--4, 203--251.

\bibitem{clark}
D. Clark, N. Jarvis, \emph{Dense admissible sequences}, Math. Comp. 70 (2001), no. 236, 1713--1718.

\bibitem{WeilII}
P. Deligne, \emph{La conjecture de Weil. II}, Publications Math\'ematiques de l'IH\'ES 52 (1980), 137--252.

\bibitem{dickson}
L. E. Dickson, \emph{A new extension of Dirichlet's theorem on prime numbers}, Messenger of Mathematics 33 (1904), 155--161.

\bibitem{elliott} P. D. T. A. Elliott, H. Halberstam, \emph{A
    conjecture in prime number theory}, Symp. Math. 4 (1968), 59--72.

\bibitem{revesz} B. Farkas, J. Pintz, S. R\'ev\'esz, \emph{On the
    optimal weight function in the Goldston-Pintz-Y{\i}ld{\i}r{\i}m
    method for finding small gaps between consecutive primes}, to
  appear in: Paul Tur\'an Memorial Volume: Number Theory, Analysis and
  Combinatorics, de Gruyter, Berlin, 2013.

\bibitem{ford}
K. Ford, \emph{On Bombieri's asymptotic sieve}, Trans. Amer. Math. Soc. \textbf{357} (2005), 1663--1674.

\bibitem{fouvry} \'E. Fouvry, \emph{Autour du th\'eor\`eme de
    Bombieri-Vinogradov}, Acta Math. 152 (1984), no. 3-4,
  219--244.

\bibitem{fouvry-invent}
E. Fouvry, \emph{Th\'eor\'me de Brun-Titchmarsh: application au th\'eor\`eme de Fermat}, Invent. Math. \textbf{79} (1985), no. 2, 383--407.


 \bibitem{fg} J. Friedlander, A. Granville, \emph{Relevance of the
     residue class to the abundance of primes}, Proceedings of the
   Amalfi Conference on Analytic Number Theory (Maiori, 1989),
   95--103, Univ. Salerno, Salerno, 1992.

 \bibitem{fghm} J. Friedlander, A. Granville, A. Hildebrand, H. Maier,
   \emph{Oscillation theorems for primes in arithmetic progressions
     and for sifting functions}, J. Amer. Math. Soc. 4 (1991), no. 1,
   25--86.

\bibitem{fi}
J. Friedlander, H. Iwaniec, \emph{The polynomial $X^2+Y^4$ captures its primes}, Ann. of Math. (2) \textbf{148} (1998), no. 3, 945–-1040.

\bibitem{fi-2} \'E. Fouvry, H. Iwaniec, \emph{Primes in arithmetic
    progressions}, Acta Arith. 42 (1983), no. 2, 197--218.
	
\bibitem{opera}
J. Friedlander, H. Iwaniec, Opera del Cribro, American Mathematical Society Colloquium Publications vol. 57, 2010.		

 \bibitem{gpy} D. Goldston, J. Pintz, C. Y{\i}ld{\i}r{\i}m,
   \emph{Primes in tuples. I}, Ann. of Math. 170 (2009),
   no. 2, 819--862.

 \bibitem{ggpy} D. Goldston, S. Graham, J. Pintz,
   C. Y{\i}ld{\i}r{\i}m, \emph{Small gaps between primes or almost
     primes}, Trans. Amer. Math. Soc. 361 (2009), no. 10,
   5285--5330.

\bibitem{gy}
D. Goldston, C Y{\i}ld{\i}r{\i}m, \emph{Higher correlations of divisor sums related to primes. I. Triple correlations}, Integers \textbf{3} (2003), A5, 66 pp.

 \bibitem{gordon} D. Gordon, G. Rodemich, \emph{Dense admissible
     sets}, Algorithmic number theory (Portland, OR, 1998), 216--225,
   Lecture Notes in Comput. Sci., 1423, Springer, Berlin, 1998.
 
 \bibitem{granville} A. Granville, \emph{Bounded gaps between primes},
   preprint.

 \bibitem{hardy} G. H. Hardy, J. E. Littlewood, \emph{Some problems of
     ``Partitio Numerorum'', III: On the expression of a number as a
     sum of primes}, Acta Math. 44 (1923), 1--70.

 \bibitem{hb-ident} D. R. Heath-Brown, \emph{Prime numbers in short
     intervals and a generalized Vaughan identity}, Canad. J. Math. 34
   (1982), no. 6, 1365--1377.

 \bibitem{hensley} D. Hensley, I. Richards, \emph{On the
     incompatibility of two conjectures concerning primes}, Analytic
   number theory (Proc. Sympos. Pure Math., Vol. XXIV, St. Louis
   Univ., St. Louis, Mo., 1972), pp. 123--127. Amer. Math. Soc.,
   Providence, R.I., 1973.

 \bibitem{hensley-2} D. Hensley, I. Richards, \emph{Primes in
     intervals}, Acta Arith. 25 (1973/74), 375--391.


 \bibitem{ik} H. Iwaniec, E. Kowalski, Analytic Number Theory,
   American Mathematical Society Colloquium Publications Vol. 53,
   2004.

\bibitem{maynard-1}
J. Maynard, \emph{Bounded length intervals containing two primes and an almost-prime}, Bull. Lond. Math. Soc. 45 (2013), 753--764.
  
\bibitem{maynard} J. Maynard, \emph{Bounded length intervals
    containing two primes and an almost-prime II}, preprint.

\bibitem{maynard-new}
J. Maynard, \emph{Small gaps between primes}, to appear, Annals Math..
 
\bibitem{mont}
H. L. Montgomery, Topics in Multiplicative Number Theory, volume 227
of Lecture Notes in Math. Springer, New York, 1971.


\bibitem{mv-book} H. L. Montgomery, R. C. Vaughan, Multiplicative
  Number Theory I. Classical Theory, Cambridge studies in advanced
  mathematics, 2007.

\bibitem{motohashi} Y. Motohashi, \emph{An induction principle for the
    generalization of Bombieri's Prime Number Theorem}, Proc. Japan
  Acad. 52 (1976), 273--275.

\bibitem{mp} Y. Motohashi, J. Pintz, \emph{A smoothed GPY sieve},
  Bull. Lond. Math. Soc. 40 (2008), no. 2, 298--310.

\bibitem{pintz-szemeredi}
J. Pintz, \emph{Are there arbitrarily long arithmetic progressions in the sequence of twin primes?}, An irregular mind. Szemer\'edi is 70. Bolyai Soc. Math. Stud. 21, Springer, 2010, pp. 525–559.

\bibitem{bgc}
J. Pintz, \emph{The bounded gap conjecture and bounds between consecutive Goldbach numbers}, Acta Arith. \textbf{155} (2012), no. 4, 397--405. 

\bibitem{pintz-polignac} J. Pintz, \emph{Polignac Numbers, Conjectures
    of Erd\H{o}s on Gaps between Primes, Arithmetic Progressions in
    Primes, and the Bounded Gap Conjecture}, preprint.

\bibitem{pintz} J. Pintz, \emph{A note on bounded gaps between
    primes}, preprint.

\bibitem{polymath8a}
D. H. J. Polymath, \emph{New equidistribution estimates of Zhang type}, submitted.

\bibitem{polymath8a-unabridged}
D. H. J. Polymath, \emph{New equidistribution estimates of Zhang type, and bounded gaps between primes}, unpublished at {\tt http://arxiv.org/abs/1402.0811v2}.

\bibitem{richards} I. Richards, \emph{On the incompatibility of two
    conjectures concerning primes; a discussion of the use of
    computers in attacking a theoretical problem},
  Bull. Amer. Math. Soc. 80 (1974), 419--438.

\bibitem{schinzel} A. Schinzel, \emph{Remarks on the paper ``Sur
    certaines hypoth\`eses concernant les nombres premiers''}, Acta
  Arith. 7 (1961/1962) 1--8.

\bibitem{schonhage} A. Sch\"{o}nhage, V. Strassen, \emph{Schnelle
    {M}ultiplikation gro\ss{}er {Z}ahlen}, Computing
  (Arch. Elektron. Rechnen) 7 (1971), 281--292.

\bibitem{selberg} A. Selberg, \emph{On elementary methods in prime
    number-theory and their limitations}, in Proc. 11th
  Scand. Math. Cong. Trondheim (1949), Collected Works, Vol. I,
  388--397, Springer-Verlag, Berlin-G\"ottingen-Heidelberg, 1989.

\bibitem{siebert} H. Siebert, \emph{Einige Analoga zum Satz von
    Siegel-Walfisz}, in: Zahlentheorie (Tagung, Math. Forschungsinst.,
  Oberwolfach, 1970), Bibliographisches Inst., Mannheim, 1971,
  173--184.

\bibitem{sound} K. Soundararajan, \emph{Small gaps between prime
    numbers: the work of Goldston-Pintz-Y{\i}ld{\i}r{\i}m},
  Bull. Amer. Math. Soc. (N.S.) 44 (2007), no. 1, 1--18.

\bibitem{trudgian} T. S. Trudgian, \emph{A poor man's improvement on
    Zhang's result: there are infinitely many prime gaps less than 60
    million}, preprint.

\bibitem{vaughan} R. C. Vaughan, \emph{Sommes trigonom\'etriques sur
    les nombres premiers}, C. R. Acad. Sci. Paris S\'er. A 285 (1977),
  981--983.

\bibitem{vinogradov}
A. I. Vinogradov, \emph{The density hypothesis for Dirichlet L-series}, Izv. Akad. Nauk SSSR Ser. Mat. (in Russian) \textbf{29} (1956), 903--934.


\bibitem{weilrh} A. Weil, \emph{Sur les courbes alg\'ebriques et les
    vari\'et\'es qui s'en d\'eduisent}, Actualit\'es Sci. Ind. 1041,
  Hermann, 1948.

\bibitem{zhang} Y. Zhang, \emph{Bounded gaps between primes}, Annals Math \textbf{179} (2014), 1121--1174.

\end{thebibliography}


%%% Local Variables: 
%%% mode: latex
%%% TeX-master: "newgap"
%%% End: 

