質數間隙 (Chinese Wikipedia)
Analysis of information sources in references of the Wikipedia article "質數間隙" in Chinese language version.
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ams.org (Global: 451st place; Chinese: 935th place)
- Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115
. （原始内容存档于April 12, 2021）. - Zhang, Yitang. Bounded gaps between primes. Annals of Mathematics. 2014, 179 (3): 1121–1174. MR 3171761. doi:10.4007/annals.2014.179.3.7 .
- Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
- D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
- Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.
arxiv.org (Global: 69th place; Chinese: 254th place)
- Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
- Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.
- Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Yalçin. Primes in Tuples II. Acta Mathematica. 2010, 204 (1): 1–47. S2CID 7993099. arXiv:0710.2728 . doi:10.1007/s11511-010-0044-9.
- Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
- D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
- Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.
- Ford, Kevin; Maynard, James; Tao, Terence. Chains of large gaps between primes. 2015-10-13. arXiv:1511.04468 [math.NT].
- Sinha, Nilotpal Kanti. On a new property of primes that leads to a generalization of Cramer's conjecture. 2010. arXiv:1010.1399 [math.NT].
- Kourbatov, Alexei. Upper bounds for prime gaps related to Firoozbakht's conjecture. Journal of Integer Sequences. 2015, 18 (11). arXiv:1506.03042 . 已忽略未知参数
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books.google.com (Global: 3rd place; Chinese: 8th place)
- Erdős, Paul; Bollobás, Béla; Thomason, Andrew (编). Combinatorics, Geometry and Probability: A Tribute to Paul Erdős. Cambridge University Press. 1997: 1 [September 29, 2022]. ISBN 9780521584722. （原始内容存档于September 29, 2022）.
dartmouth.edu (Global: 2,242nd place; Chinese: 1,998th place)
- Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）..
doi.org (Global: 2nd place; Chinese: 23rd place)
- Heilbronn, H. A. Über den Primzahlsatz von Herrn Hoheisel. Mathematische Zeitschrift. 1933, 36 (1): 394–423. JFM 59.0947.01. S2CID 123216472. doi:10.1007/BF01188631.
- Ingham, A. E. On the difference between consecutive primes. Quarterly Journal of Mathematics. Oxford Series. 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255.
- Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.
- Huxley, M. N. On the Difference between Consecutive Primes. Inventiones Mathematicae. 1972, 15 (2): 164–170. Bibcode:1971InMat..15..164H. S2CID 121217000. doi:10.1007/BF01418933.
- Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
- Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Yalçin. Primes in Tuples II. Acta Mathematica. 2010, 204 (1): 1–47. S2CID 7993099. arXiv:0710.2728 . doi:10.1007/s11511-010-0044-9.
- Zhang, Yitang. Bounded gaps between primes. Annals of Mathematics. 2014, 179 (3): 1121–1174. MR 3171761. doi:10.4007/annals.2014.179.3.7 .
- Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
- D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
- Pintz, J. Very large gaps between consecutive primes. J. Number Theory. 1997, 63 (2): 286–301. doi:10.1006/jnth.1997.2081 .
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
- Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.
- Cramér, Harald. On the order of magnitude of the difference between consecutive prime numbers. Acta Arithmetica. 1936, 2: 23–46. doi:10.4064/aa-2-1-23-46 .
- Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.
- Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）..
- Granville, Andrew. Unexpected Irregularities in the Distribution of Prime Numbers (PDF). Proceedings of the International Congress of Mathematicians 1. 1995: 388–399 [March 2, 2016]. ISBN 978-3-0348-9897-3. doi:10.1007/978-3-0348-9078-6_32. （原始内容存档 (PDF)于May 7, 2016）..
- Pintz, János. Cramér vs. Cramér: On Cramér's probabilistic model for primes. Functiones et Approximatio Commentarii Mathematici. September 2007, 37 (2): 232–471. doi:10.7169/facm/1229619660 .
dustri.org (Global: low place; Chinese: low place)
- Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.
github.com (Global: 383rd place; Chinese: 336th place)
- Prime Gap Records. GitHub. June 11, 2022.
harvard.edu (Global: 18th place; Chinese: 57th place)
ui.adsabs.harvard.edu
- Ingham, A. E. On the difference between consecutive primes. Quarterly Journal of Mathematics. Oxford Series. 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255.
- Huxley, M. N. On the Difference between Consecutive Primes. Inventiones Mathematicae. 1972, 15 (2): 164–170. Bibcode:1971InMat..15..164H. S2CID 121217000. doi:10.1007/BF01418933.
- Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.
lynchburg.edu (Global: low place; Chinese: low place)
faculty.lynchburg.edu
- Nicely, Thomas R. NEW PRIME GAP OF MAXIMUM KNOWN MERIT. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于April 30, 2021）.
- Nicely, Thomas R. TABLES OF PRIME GAPS. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于November 27, 2020）.
mersenneforum.org (Global: low place; Chinese: low place)
- ATH. Announcement at Mersenneforum.org. Mersenneforum.org. 2024-03-11. （原始内容存档于2024-03-12）.
michaelnielsen.org (Global: low place; Chinese: low place)
- Bounded gaps between primes. Polymath. [2013-07-21]. （原始内容存档于February 28, 2020）.
ntheory.org (Global: low place; Chinese: low place)
- Record prime gap info. ntheory.org. [2022-09-29]. （原始内容存档于October 13, 2016）.
primegap-list-project.github.io (Global: low place; Chinese: low place)
- Top 20 overall merits. Prime gap list. [2022-09-29]. （原始内容存档于July 27, 2022）.
primerecords.dk (Global: low place; Chinese: low place)
- Andersen, Jens Kruse. The Top-20 Prime Gaps. [2014-06-13]. （原始内容存档于December 27, 2019）.
- Andersen, Jens Kruse. A megagap with merit 25.9. primerecords.dk. 8 March 2013 [2022-09-29]. （原始内容存档于December 25, 2019）.
psu.edu (Global: 207th place; Chinese: 628th place)
citeseerx.ist.psu.edu
- Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
- Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）..
pzktupel.de (Global: low place; Chinese: low place)
- Andersen, Jens Kruse. Record prime gaps. [Oct 10, 2024].
semanticscholar.org (Global: 11th place; Chinese: 332nd place)
api.semanticscholar.org
- Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
- Heilbronn, H. A. Über den Primzahlsatz von Herrn Hoheisel. Mathematische Zeitschrift. 1933, 36 (1): 394–423. JFM 59.0947.01. S2CID 123216472. doi:10.1007/BF01188631.
- Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.
- Huxley, M. N. On the Difference between Consecutive Primes. Inventiones Mathematicae. 1972, 15 (2): 164–170. Bibcode:1971InMat..15..164H. S2CID 121217000. doi:10.1007/BF01418933.
- Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
- Goldston, Daniel A.; Pintz, János; Yıldırım, Cem Yalçin. Primes in Tuples II. Acta Mathematica. 2010, 204 (1): 1–47. S2CID 7993099. arXiv:0710.2728 . doi:10.1007/s11511-010-0044-9.
- Maynard, James. Small gaps between primes. Annals of Mathematics. January 2015, 181 (1): 383–413. MR 3272929. S2CID 55175056. arXiv:1311.4600 . doi:10.4007/annals.2015.181.1.7 .
- D.H.J. Polymath. Variants of the Selberg sieve, and bounded intervals containing many primes. Research in the Mathematical Sciences. 2014, 1 (12). MR 3373710. S2CID 119699189. arXiv:1407.4897 . doi:10.1186/s40687-014-0012-7 .
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Tao, Terence. Large gaps between consecutive prime numbers. Ann. of Math. 2016, 183 (3): 935–974. MR 3488740. S2CID 16336889. arXiv:1408.4505 . doi:10.4007/annals.2016.183.3.4.
- Maynard, James. Large gaps between primes. Ann. of Math. 2016, 183 (3): 915–933. MR 3488739. S2CID 119247836. arXiv:1408.5110 . doi:10.4007/annals.2016.183.3.3.
- Ford, Kevin; Green, Ben; Konyagin, Sergei; Maynard, James; Tao, Terence. Long gaps between primes. J. Amer. Math. Soc. 2018, 31 (1): 65–105. MR 3718451. S2CID 14487001. arXiv:1412.5029 . doi:10.1090/jams/876.
terrytao.wordpress.com (Global: low place; Chinese: low place)
- Tao, Terence. Long gaps between primes / What's new. 16 December 2014 [August 29, 2019]. （原始内容存档于June 9, 2019）.
umd.edu (Global: 1,747th place; Chinese: 1,773rd place)
cs.umd.edu
- Baker, R. C.; Harman, G.; Pintz, J. The difference between consecutive primes, II (PDF). Proceedings of the London Mathematical Society. 2001, 83 (3): 532–562. CiteSeerX 10.1.1.360.3671 . S2CID 8964027. doi:10.1112/plms/83.3.532.
umontreal.ca (Global: 6,223rd place; Chinese: 9,933rd place)
dms.umontreal.ca
- Granville, Andrew. Unexpected Irregularities in the Distribution of Prime Numbers (PDF). Proceedings of the International Congress of Mathematicians 1. 1995: 388–399 [March 2, 2016]. ISBN 978-3-0348-9897-3. doi:10.1007/978-3-0348-9078-6_32. （原始内容存档 (PDF)于May 7, 2016）..
uwaterloo.ca (Global: 3,153rd place; Chinese: 2,506th place)
cs.uwaterloo.ca
- Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
web.archive.org (Global: 1st place; Chinese: 1st place)
- Bounded gaps between primes. Polymath. [2013-07-21]. （原始内容存档于February 28, 2020）.
- ATH. Announcement at Mersenneforum.org. Mersenneforum.org. 2024-03-11. （原始内容存档于2024-03-12）.
- Andersen, Jens Kruse. The Top-20 Prime Gaps. [2014-06-13]. （原始内容存档于December 27, 2019）.
- Andersen, Jens Kruse. A megagap with merit 25.9. primerecords.dk. 8 March 2013 [2022-09-29]. （原始内容存档于December 25, 2019）.
- Nicely, Thomas R. NEW PRIME GAP OF MAXIMUM KNOWN MERIT. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于April 30, 2021）.
- Record prime gap info. ntheory.org. [2022-09-29]. （原始内容存档于October 13, 2016）.
- Nicely, Thomas R. TABLES OF PRIME GAPS. faculty.lynchburg.edu. 2019 [2022-09-29]. （原始内容存档于November 27, 2020）.
- Top 20 overall merits. Prime gap list. [2022-09-29]. （原始内容存档于July 27, 2022）.
- Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
- Erdős, Paul; Bollobás, Béla; Thomason, Andrew (编). Combinatorics, Geometry and Probability: A Tribute to Paul Erdős. Cambridge University Press. 1997: 1 [September 29, 2022]. ISBN 9780521584722. （原始内容存档于September 29, 2022）.
- Tao, Terence. Long gaps between primes / What's new. 16 December 2014 [August 29, 2019]. （原始内容存档于June 9, 2019）.
- Ingham, Albert E. On the difference between consecutive primes (PDF). Quarterly Journal of Mathematics (Oxford). 1937, 8 (1): 255–266. Bibcode:1937QJMat...8..255I. doi:10.1093/qmath/os-8.1.255. （原始内容存档 (PDF)于2022-12-05）.
- Granville, Andrew. Harald Cramér and the distribution of prime numbers (PDF). Scandinavian Actuarial Journal. 1995, 1: 12–28 [March 2, 2016]. CiteSeerX 10.1.1.129.6847 . doi:10.1080/03461238.1995.10413946. （原始内容存档 (PDF)于September 23, 2015）..
- Granville, Andrew. Unexpected Irregularities in the Distribution of Prime Numbers (PDF). Proceedings of the International Congress of Mathematicians 1. 1995: 388–399 [March 2, 2016]. ISBN 978-3-0348-9897-3. doi:10.1007/978-3-0348-9078-6_32. （原始内容存档 (PDF)于May 7, 2016）..
zbmath.org (Global: 1,923rd place; Chinese: low place)
- Kourbatov, A.; Wolf, M. On the first occurrences of gaps between primes in a residue class. Journal of Integer Sequences. 2020, 23 (Article 20.9.3) [December 3, 2020]. MR 4167933. S2CID 211043720. Zbl 1444.11191. arXiv:2002.02115 . （原始内容存档于April 12, 2021）.
- Hoheisel, G. Primzahlprobleme in der Analysis. Sitzunsberichte der Königlich Preussischen Akademie der Wissenschaften zu Berlin. 1930, 33: 3–11. JFM 56.0172.02.
- Heilbronn, H. A. Über den Primzahlsatz von Herrn Hoheisel. Mathematische Zeitschrift. 1933, 36 (1): 394–423. JFM 59.0947.01. S2CID 123216472. doi:10.1007/BF01188631.
- Tchudakoff, N. G. On the difference between two neighboring prime numbers. Mat. Sb. 1936, 1: 799–814. Zbl 0016.15502.
- Cheng, Yuan-You Fu-Rui. Explicit estimate on primes between consecutive cubes. Rocky Mt. J. Math. 2010, 40: 117–153. S2CID 15502941. Zbl 1201.11111. arXiv:0810.2113 . doi:10.1216/rmj-2010-40-1-117.