ON STOCHASTIC APPROXIMATIONS TO THE DISTRIBUTION OF PRIMES AND PRIME METRICS
Keywords:
primes, prime gaps, Erlang Distribution, Poisson process, stochastic approximationsAbstract
References
"Bounded gaps between primes". Polymath. Retrieved 2013-07-21.
Baker, R. C.; Harman, G.; Pintz, J. (2001). "The difference between consecutive primes, II". Proceedings of the London Mathematical Society 83 (3): 532–562.
Cheng, Yuan-You Fu-Rui (2010). "Explicit estimate on primes between consecutive cubes". Rocky Mt. J. Math. 40: 117–153.
DHJ Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences 1 (12).
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence (2015). "Long gaps between primes".
Huxley, M. N. (1972). "On the Difference between Consecutive Primes". Inventiones Mathematicae 15 (2): 164–170.
Ingham, A. E. (1937). "On the difference between consecutive primes". Quarterly Journal of Mathematics. Oxford Series 8 (1): 255–266. doi:10.1093/qmath/os-8.1.255.
James Maynard (2014) "Large gaps between primes"
Kevin Ford, Ben Green, Sergei Konyagin, and Terence Tao (2014) "Large gaps between consecutive prime numbers"
Maynard, James (2015). "Small gaps between primes". Annals of Mathematics 181 (1): 383–413.
Pintz, J. (1997). "Very large gaps between consecutive primes". J. Number Theory 63 (2): 286–301.
Shanks, Daniel (1964), "On Maximal Gaps between Successive Primes", Mathematics of Computation (American Mathematical Society) 18 (88): 646–651.
Tchudakoff, N. G. (1936). "On the difference between two neighboring prime numbers". Math. Sb. 1: 799–814.
Zhang, Yitang (2014). "Bounded gaps between primes". Annals of Mathematics 179 (3):1121-1174.
Baker, R. C.; Harman, G.; Pintz, J. (2001). "The difference between consecutive primes, II". Proceedings of the London Mathematical Society 83 (3): 532–562.
Cheng, Yuan-You Fu-Rui (2010). "Explicit estimate on primes between consecutive cubes". Rocky Mt. J. Math. 40: 117–153.
DHJ Polymath (2014). "Variants of the Selberg sieve, and bounded intervals containing many primes". Research in the Mathematical Sciences 1 (12).
Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence (2015). "Long gaps between primes".
Huxley, M. N. (1972). "On the Difference between Consecutive Primes". Inventiones Mathematicae 15 (2): 164–170.
Ingham, A. E. (1937). "On the difference between consecutive primes". Quarterly Journal of Mathematics. Oxford Series 8 (1): 255–266. doi:10.1093/qmath/os-8.1.255.
James Maynard (2014) "Large gaps between primes"
Kevin Ford, Ben Green, Sergei Konyagin, and Terence Tao (2014) "Large gaps between consecutive prime numbers"
Maynard, James (2015). "Small gaps between primes". Annals of Mathematics 181 (1): 383–413.
Pintz, J. (1997). "Very large gaps between consecutive primes". J. Number Theory 63 (2): 286–301.
Shanks, Daniel (1964), "On Maximal Gaps between Successive Primes", Mathematics of Computation (American Mathematical Society) 18 (88): 646–651.
Tchudakoff, N. G. (1936). "On the difference between two neighboring prime numbers". Math. Sb. 1: 799–814.
Zhang, Yitang (2014). "Bounded gaps between primes". Annals of Mathematics 179 (3):1121-1174.
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2017-05-17
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