Bertrand's postulate (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Bertrand's postulate" in English language version.

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7doi.org

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4arxiv.org

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4semanticscholar.org

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2worldcat.org

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1archive.org

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1books.google.com

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1mathdoc.fr

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1biodiversitylibrary.org

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1imsc.res.in

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1uwaterloo.ca

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1renyi.hu

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1projecteuclid.org

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1jstor.org

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1unilim.fr

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1psu.edu

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1harvard.edu

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archive.org

Ribenboim, Paulo (2004). The Little Book of Bigger Primes. New York: Springer-Verlag. p. 181. ISBN 978-0-387-20169-6.

arxiv.org

Madhuparna Das (2019), Generalization of Bertrand’s postulate for Gaussian primes, arXiv:1901.07086v2
Dusart, Pierre (2010). "Estimates of Some Functions Over Primes without R.H.". arXiv:1002.0442 [math.NT].
Dudek, Adrian (December 2016), "An explicit result for primes between cubes", Funct. Approx., 55 (2): 177–197, arXiv:1401.4233, doi:10.7169/facm/2016.55.2.3, S2CID 119143089
Dudek, Adrian W. (21 August 2014), "On the Riemann hypothesis and the difference between primes", International Journal of Number Theory, 11 (3): 771–778, arXiv:1402.6417, Bibcode:2014arXiv1402.6417D, doi:10.1142/S1793042115500426, ISSN 1793-0421, S2CID 119321107

biodiversitylibrary.org

Tchebychev, P. (1852), "Mémoire sur les nombres premiers." (PDF), Journal de mathématiques pures et appliquées, Série 1 (in French): 366–390. (Proof of the postulate: 371-382). Also see Tchebychev, P. (1854), "Mémoire sur les nombres premiers.", Mémoires de l'Académie Impériale des Sciences de St. Pétersbourg (in French), 7: 15–33

books.google.com

Bertrand, Joseph (1845), "Mémoire sur le nombre de valeurs que peut prendre une fonction quand on y permute les lettres qu'elle renferme.", Journal de l'École Royale Polytechnique (in French), 18 (Cahier 30): 123–140.

doi.org

Hanson, Denis (1973), "On a theorem of Sylvester and Schur", Canadian Mathematical Bulletin, 16 (2): 195–199, doi:10.4153/CMB-1973-035-3.
Nagura, J (1952), "On the interval containing at least one prime number", Proceedings of the Japan Academy, Series A, 28 (4): 177–181, doi:10.3792/pja/1195570997
Lowell Schoenfeld (April 1976), "Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x), II", Mathematics of Computation, 30 (134): 337–360, doi:10.2307/2005976, JSTOR 2005976
Dusart, Pierre (2016), "Explicit estimates of some functions over primes", The Ramanujan Journal, 45: 227–251, doi:10.1007/s11139-016-9839-4, S2CID 125120533
Baker, R. C.; Harman, G.; Pintz, J. (2001), "The difference between consecutive primes, II", Proceedings of the London Mathematical Society, 83 (3): 532–562, CiteSeerX 10.1.1.360.3671, doi:10.1112/plms/83.3.532, S2CID 8964027
Dudek, Adrian (December 2016), "An explicit result for primes between cubes", Funct. Approx., 55 (2): 177–197, arXiv:1401.4233, doi:10.7169/facm/2016.55.2.3, S2CID 119143089
Dudek, Adrian W. (21 August 2014), "On the Riemann hypothesis and the difference between primes", International Journal of Number Theory, 11 (3): 771–778, arXiv:1402.6417, Bibcode:2014arXiv1402.6417D, doi:10.1142/S1793042115500426, ISSN 1793-0421, S2CID 119321107

harvard.edu

ui.adsabs.harvard.edu

Dudek, Adrian W. (21 August 2014), "On the Riemann hypothesis and the difference between primes", International Journal of Number Theory, 11 (3): 771–778, arXiv:1402.6417, Bibcode:2014arXiv1402.6417D, doi:10.1142/S1793042115500426, ISSN 1793-0421, S2CID 119321107

imsc.res.in

Ramanujan, S. (1919), "A proof of Bertrand's postulate", Journal of the Indian Mathematical Society, 11: 181–182

jstor.org

Lowell Schoenfeld (April 1976), "Sharper Bounds for the Chebyshev Functions θ(x) and ψ(x), II", Mathematics of Computation, 30 (134): 337–360, doi:10.2307/2005976, JSTOR 2005976

mathdoc.fr

sites.mathdoc.fr

Tchebychev, P. (1852), "Mémoire sur les nombres premiers." (PDF), Journal de mathématiques pures et appliquées, Série 1 (in French): 366–390. (Proof of the postulate: 371-382). Also see Tchebychev, P. (1854), "Mémoire sur les nombres premiers.", Mémoires de l'Académie Impériale des Sciences de St. Pétersbourg (in French), 7: 15–33

projecteuclid.org

Nagura, J (1952), "On the interval containing at least one prime number", Proceedings of the Japan Academy, Series A, 28 (4): 177–181, doi:10.3792/pja/1195570997

psu.edu

citeseerx.ist.psu.edu

Baker, R. C.; Harman, G.; Pintz, J. (2001), "The difference between consecutive primes, II", Proceedings of the London Mathematical Society, 83 (3): 532–562, CiteSeerX 10.1.1.360.3671, doi:10.1112/plms/83.3.532, S2CID 8964027

renyi.hu

Erdős, P. (1932), "Beweis eines Satzes von Tschebyschef" (PDF), Acta Litt. Sci. (Szeged) (in German), 5 (1930-1932): 194–198

semanticscholar.org

api.semanticscholar.org

Dusart, Pierre (2016), "Explicit estimates of some functions over primes", The Ramanujan Journal, 45: 227–251, doi:10.1007/s11139-016-9839-4, S2CID 125120533
Baker, R. C.; Harman, G.; Pintz, J. (2001), "The difference between consecutive primes, II", Proceedings of the London Mathematical Society, 83 (3): 532–562, CiteSeerX 10.1.1.360.3671, doi:10.1112/plms/83.3.532, S2CID 8964027
Dudek, Adrian (December 2016), "An explicit result for primes between cubes", Funct. Approx., 55 (2): 177–197, arXiv:1401.4233, doi:10.7169/facm/2016.55.2.3, S2CID 119143089
Dudek, Adrian W. (21 August 2014), "On the Riemann hypothesis and the difference between primes", International Journal of Number Theory, 11 (3): 771–778, arXiv:1402.6417, Bibcode:2014arXiv1402.6417D, doi:10.1142/S1793042115500426, ISSN 1793-0421, S2CID 119321107

unilim.fr

Dusart, Pierre (1998), Autour de la fonction qui compte le nombre de nombres premiers (PDF) (PhD thesis) (in French)

uwaterloo.ca

cs.uwaterloo.ca

Shevelev, Vladimir; Greathouse, Charles R.; Moses, Peter J. C. (2013), "On Intervals (kn,(k + 1)n) Containing a Prime for All n > 1" (PDF), Journal of Integer Sequences, 16 (7), ISSN 1530-7638

worldcat.org

search.worldcat.org

Shevelev, Vladimir; Greathouse, Charles R.; Moses, Peter J. C. (2013), "On Intervals (kn,(k + 1)n) Containing a Prime for All n > 1" (PDF), Journal of Integer Sequences, 16 (7), ISSN 1530-7638
Dudek, Adrian W. (21 August 2014), "On the Riemann hypothesis and the difference between primes", International Journal of Number Theory, 11 (3): 771–778, arXiv:1402.6417, Bibcode:2014arXiv1402.6417D, doi:10.1142/S1793042115500426, ISSN 1793-0421, S2CID 119321107