@article{ErdosPrachar1962,
  author = {Erd{\H o}s, Paul and Prachar, Karl},
  title = {S{\"a}tze und {Probleme} {\"u}ber {$p_k/k$}},
  journal = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t Hamburg},
  volume = {25},
  year = {1962},
  pages = {251--256},
  doi = {10.1007/BF02992930},
  url = {https://www.renyi.hu/~p_erdos/1961-21.pdf}
}

@article{BFI1986,
  author = {Bombieri, Enrico and Friedlander, John B. and Iwaniec, Henryk},
  title = {Primes in arithmetic progressions to large moduli},
  journal = {Acta Mathematica},
  volume = {156},
  year = {1986},
  pages = {203--251},
  doi = {10.1007/BF02399204},
  url = {https://archive.ymsc.tsinghua.edu.cn/pacm_download/117/6385-11511_2006_Article_BF02399204.pdf}
}

@misc{GY2005,
  author = {Goldston, Daniel A. and Y{\i}ld{\i}r{\i}m, Cem Y.},
  title = {Small Gaps Between Primes {I}},
  year = {2005},
  eprint = {math/0504336},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/math/0504336v1},
  howpublished = {\href{https://arxiv.org/abs/math/0504336v1}{arXiv:math/0504336v1}},
  note = {Version 1, 16 April 2005. Published as {Higher correlations of
    divisor sums related to primes III: small gaps between primes},
    Proc. London Math. Soc. (3) 95 (2007), no. 3, 653--686,
    \href{https://doi.org/10.1112/plms/pdm021}{doi:10.1112/plms/pdm021}}
}

@article{Maynard2015,
  author = {Maynard, James},
  title = {Small gaps between primes},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {181},
  number = {1},
  year = {2015},
  pages = {383--413},
  doi = {10.4007/annals.2015.181.1.7},
  eprint = {1311.4600},
  archivePrefix = {arXiv},
  url = {https://annals.math.princeton.edu/wp-content/uploads/annals-v181-n1-p07-p.pdf},
  note = {\href{https://annals.math.princeton.edu/wp-content/uploads/annals-v181-n1-p07-p.pdf}{Published version}}
}

@article{Gallagher1976,
  author = {Gallagher, Patrick X.},
  title = {On the distribution of primes in short intervals},
  journal = {Mathematika},
  volume = {23},
  number = {1},
  year = {1976},
  pages = {4--9},
  doi = {10.1112/S0025579300016442},
  note = {Corrigendum concerning Theorem 2: Mathematika 28 (1981), no. 1,
    86, \href{https://doi.org/10.1112/S0025579300015382}{doi:10.1112/S0025579300015382}}
}

@article{BLZ2010,
  author = {Bazzanella, Danilo and Languasco, Alessandro and Zaccagnini, Alessandro},
  title = {Prime numbers in logarithmic intervals},
  journal = {Transactions of the American Mathematical Society},
  volume = {362},
  year = {2010},
  pages = {2667--2684},
  doi = {10.1090/S0002-9947-09-05009-0},
  eprint = {0809.2967},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0809.2967}
}

@misc{Tao2019,
  author = {Tao, Terence},
  title = {Answer to: Positive proportion of logarithmic gaps between consecutive primes},
  year = {2019},
  month = may,
  howpublished = {MathOverflow, \href{https://mathoverflow.net/a/332888}{answer 332888}},
  url = {https://mathoverflow.net/a/332888},
  note = {Accessed 25 September 2026}
}

@article{GoldstonYildirim2003Triple,
  author = {Goldston, D. A. and Y{\i}ld{\i}r{\i}m, C. Y.},
  title = {Higher correlations of divisor sums related to primes {I}: Triple correlations},
  journal = {Integers},
  volume = {3},
  year = {2003},
  pages = {A05},
  note = {66 pp.},
  url = {https://math.colgate.edu/~integers/d5/d5.pdf}
}

@article{Bombieri1965,
  author = {Bombieri, Enrico},
  title = {On the large sieve},
  journal = {Mathematika},
  volume = {12},
  number = {2},
  year = {1965},
  pages = {201--225},
  doi = {10.1112/S0025579300005313}
}

@article{Vinogradov1965,
  author = {Vinogradov, A. I.},
  title = {The density hypothesis for {Dirichlet} {$L$}-series},
  journal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
  volume = {29},
  number = {4},
  year = {1965},
  pages = {903--934},
  url = {https://www.mathnet.ru/eng/im3080},
  note = {In Russian; correction, vol. 30 (1966), no. 3, pp. 719--720,
    \href{https://www.mathnet.ru/eng/im2856}{Math-Net correction record}}
}

@misc{Jha2026,
  author = {Jha, Abhishek},
  title = {The {Poisson Tail Conjecture} for primes in short intervals},
  year = {2026},
  eprint = {2605.23014},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.23014v2},
  howpublished = {\href{https://arxiv.org/abs/2605.23014v2}{arXiv:2605.23014v2}},
  note = {Version 2, 12 September 2026}
}

@article{GKM2021,
  author = {Granville, Andrew and Koukoulopoulos, Dimitris and Maynard, James},
  title = {Sieve weights and their smoothings},
  journal = {Annales scientifiques de l'{\'E}cole Normale Sup{\'e}rieure},
  series = {4},
  volume = {54},
  number = {5},
  pages = {1089--1177},
  year = {2021},
  doi = {10.24033/asens.2478},
  url = {https://arxiv.org/abs/1606.06781v4}
}

@article{Westzynthius1931,
  author = {Westzynthius, E.},
  title = {{\"U}ber die Verteilung der Zahlen, die zu den $n$ ersten Primzahlen teilerfremd sind},
  journal = {Commentationes Physico-Mathematicae},
  volume = {5},
  number = {25},
  year = {1931},
  pages = {1--37}
}

@article{Erdos1935,
  author = {Erd{\H o}s, Paul},
  title = {On the difference of consecutive primes},
  journal = {The Quarterly Journal of Mathematics},
  series = {Oxford Series},
  volume = {6},
  year = {1935},
  pages = {124--128},
  doi = {10.1093/qmath/os-6.1.124}
}

@article{Rankin1938,
  author = {Rankin, R. A.},
  title = {The difference between consecutive prime numbers},
  journal = {Journal of the London Mathematical Society},
  volume = {13},
  number = {4},
  year = {1938},
  pages = {242--247},
  doi = {10.1112/jlms/s1-13.4.242}
}

@article{FordGreenKonyaginTao2016,
  author = {Ford, Kevin and Green, Ben and Konyagin, Sergei and Tao, Terence},
  title = {Large gaps between consecutive prime numbers},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {183},
  number = {3},
  year = {2016},
  pages = {935--974},
  doi = {10.4007/annals.2016.183.3.4}
}

@article{Maynard2016Large,
  author = {Maynard, James},
  title = {Large gaps between primes},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {183},
  number = {3},
  year = {2016},
  pages = {915--933},
  doi = {10.4007/annals.2016.183.3.3}
}

@article{FordGreenKonyaginMaynardTao2018,
  author = {Ford, Kevin and Green, Ben and Konyagin, Sergei and Maynard, James and Tao, Terence},
  title = {Long gaps between primes},
  journal = {Journal of the American Mathematical Society},
  volume = {31},
  number = {1},
  year = {2018},
  pages = {65--105},
  doi = {10.1090/jams/876},
  eprint = {1412.5029},
  archivePrefix = {arXiv}
}
