完全数 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "完全数" in Chinese language version.

refsWebsite

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12web.archive.org

1^st place

9doi.org

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4harvard.edu

18^th place

57^th place

2archive.org

6^th place

4^th place

2books.google.com

3^rd place

8^th place

2arxiv.org

69^th place

254^th place

2ams.org

451^st place

935^th place

2byu.edu

1,687^th place

4,450^th place

1austms.org.au

low place

1oddperfect.org

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1worldcat.org

5^th place

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1zbmath.org

1,923^rd place

low place

1lirmm.fr

low place

1colgate.edu

low place

1westga.edu

low place

1tus.ac.jp

low place

1swan.ac.uk

low place

ams.org (Global: 451^st place; Chinese: 935^th place)

Iannucci, DE. The second largest prime divisor of an odd perfect number exceeds ten thousand (PDF). Mathematics of Computation. 1999, 68 (228): 1749–1760 [30 March 2011]. Bibcode:1999MaCom..68.1749I. doi:10.1090/S0025-5718-99-01126-6 . （原始内容 (PDF)存档于2021-11-03）.
Iannucci, DE. The third largest prime divisor of an odd perfect number exceeds one hundred (PDF). Mathematics of Computation. 2000, 69 (230): 867–879 [30 March 2011]. Bibcode:2000MaCom..69..867I. doi:10.1090/S0025-5718-99-01127-8. （原始内容存档 (PDF)于2013-05-17）.

archive.org (Global: 6^th place; Chinese: 4^th place)

Dickson, L. E. History of the Theory of Numbers, Vol. I. Washington: Carnegie Institution of Washington. 1919: 10.
Dickson, L. E. History of the Theory of Numbers, Vol. I. Washington: Carnegie Institution of Washington. 1919: 25.

arxiv.org (Global: 69^th place; Chinese: 254^th place)

Zelinsky, Joshua. Upper bounds on the second largest prime factor of an odd perfect number. International Journal of Number Theory. July 2019, 15 (6): 1183–1189. arXiv:1810.11734 . doi:10.1142/S1793042119500659. .
Nielsen, Pace P. Odd perfect numbers have at least nine distinct prime factors (PDF). Mathematics of Computation. 2007, 76 (260): 2109–2126 [30 March 2011]. Bibcode:2007MaCom..76.2109N. arXiv:math/0602485 . doi:10.1090/S0025-5718-07-01990-4. （原始内容 (PDF)存档于2021-11-03）.

austms.org.au (Global: low place; Chinese: low place)

Roberts, T. On the Form of an Odd Perfect Number (PDF). Australian Mathematical Gazette. 2008, 35 (4): 244 [2021-03-15]. （原始内容存档 (PDF)于2013-05-14）.

books.google.com (Global: 3^rd place; Chinese: 8^th place)

Pickover, C. Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford: Oxford University Press. 2001: 360 [2021-11-08]. ISBN 0-19-515799-0. （原始内容存档于2022-03-22）.
Peterson, I. Mathematical Treks: From Surreal Numbers to Magic Circles. Washington: Mathematical Association of America. 2002: 132 [2021-11-08]. ISBN 88-8358-537-2. （原始内容存档于2021-11-08）.

byu.edu (Global: 1,687^th place; Chinese: 4,450^th place)

math.byu.edu

Nielsen, Pace P. Odd perfect numbers, Diophantine equations, and upper bounds (PDF). Mathematics of Computation. 2015, 84 (295): 2549–2567 [13 August 2015]. doi:10.1090/S0025-5718-2015-02941-X . （原始内容 (PDF)存档于2015-07-08）.
Nielsen, Pace P. Odd perfect numbers have at least nine distinct prime factors (PDF). Mathematics of Computation. 2007, 76 (260): 2109–2126 [30 March 2011]. Bibcode:2007MaCom..76.2109N. arXiv:math/0602485 . doi:10.1090/S0025-5718-07-01990-4. （原始内容 (PDF)存档于2021-11-03）.

colgate.edu (Global: low place; Chinese: low place)

math.colgate.edu

Zelinsky, Joshua. On the Total Number of Prime Factors of an Odd Perfect Number (PDF). Integers. 3 August 2021, 21 [7 August 2021]. （原始内容 (PDF)存档于2021-11-03）.

doi.org (Global: 2^nd place; Chinese: 23^rd place)

Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰ (PDF). Mathematics of Computation. 2012, 81 (279): 1869–1877 [2021-11-03]. ISSN 0025-5718. Zbl 1263.11005. doi:10.1090/S0025-5718-2012-02563-4 . （原始内容 (PDF)存档于2016-01-15）.
Kühnel, Ullrich. Verschärfung der notwendigen Bedingungen für die Existenz von ungeraden vollkommenen Zahlen. Mathematische Zeitschrift. 1950, 52: 202–211. doi:10.1007/BF02230691 （德语）.
Goto, T; Ohno, Y. Odd perfect numbers have a prime factor exceeding 10⁸ (PDF). Mathematics of Computation. 2008, 77 (263): 1859–1868 [30 March 2011]. Bibcode:2008MaCom..77.1859G. doi:10.1090/S0025-5718-08-02050-9 . （原始内容 (PDF)存档于2011-08-07）.
Konyagin, Sergei; Acquaah, Peter. On Prime Factors of Odd Perfect Numbers. International Journal of Number Theory. 2012, 8 (6): 1537–1540. doi:10.1142/S1793042112500935.
Zelinsky, Joshua. Upper bounds on the second largest prime factor of an odd perfect number. International Journal of Number Theory. July 2019, 15 (6): 1183–1189. arXiv:1810.11734 . doi:10.1142/S1793042119500659. .
Iannucci, DE. The second largest prime divisor of an odd perfect number exceeds ten thousand (PDF). Mathematics of Computation. 1999, 68 (228): 1749–1760 [30 March 2011]. Bibcode:1999MaCom..68.1749I. doi:10.1090/S0025-5718-99-01126-6 . （原始内容 (PDF)存档于2021-11-03）.
Iannucci, DE. The third largest prime divisor of an odd perfect number exceeds one hundred (PDF). Mathematics of Computation. 2000, 69 (230): 867–879 [30 March 2011]. Bibcode:2000MaCom..69..867I. doi:10.1090/S0025-5718-99-01127-8. （原始内容存档 (PDF)于2013-05-17）.
Nielsen, Pace P. Odd perfect numbers, Diophantine equations, and upper bounds (PDF). Mathematics of Computation. 2015, 84 (295): 2549–2567 [13 August 2015]. doi:10.1090/S0025-5718-2015-02941-X . （原始内容 (PDF)存档于2015-07-08）.
Nielsen, Pace P. Odd perfect numbers have at least nine distinct prime factors (PDF). Mathematics of Computation. 2007, 76 (260): 2109–2126 [30 March 2011]. Bibcode:2007MaCom..76.2109N. arXiv:math/0602485 . doi:10.1090/S0025-5718-07-01990-4. （原始内容 (PDF)存档于2021-11-03）.

harvard.edu (Global: 18^th place; Chinese: 57^th place)

ui.adsabs.harvard.edu

Goto, T; Ohno, Y. Odd perfect numbers have a prime factor exceeding 10⁸ (PDF). Mathematics of Computation. 2008, 77 (263): 1859–1868 [30 March 2011]. Bibcode:2008MaCom..77.1859G. doi:10.1090/S0025-5718-08-02050-9 . （原始内容 (PDF)存档于2011-08-07）.
Iannucci, DE. The second largest prime divisor of an odd perfect number exceeds ten thousand (PDF). Mathematics of Computation. 1999, 68 (228): 1749–1760 [30 March 2011]. Bibcode:1999MaCom..68.1749I. doi:10.1090/S0025-5718-99-01126-6 . （原始内容 (PDF)存档于2021-11-03）.
Iannucci, DE. The third largest prime divisor of an odd perfect number exceeds one hundred (PDF). Mathematics of Computation. 2000, 69 (230): 867–879 [30 March 2011]. Bibcode:2000MaCom..69..867I. doi:10.1090/S0025-5718-99-01127-8. （原始内容存档 (PDF)于2013-05-17）.
Nielsen, Pace P. Odd perfect numbers have at least nine distinct prime factors (PDF). Mathematics of Computation. 2007, 76 (260): 2109–2126 [30 March 2011]. Bibcode:2007MaCom..76.2109N. arXiv:math/0602485 . doi:10.1090/S0025-5718-07-01990-4. （原始内容 (PDF)存档于2021-11-03）.

lirmm.fr (Global: low place; Chinese: low place)

Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰ (PDF). Mathematics of Computation. 2012, 81 (279): 1869–1877 [2021-11-03]. ISSN 0025-5718. Zbl 1263.11005. doi:10.1090/S0025-5718-2012-02563-4 . （原始内容 (PDF)存档于2016-01-15）.

oddperfect.org (Global: low place; Chinese: low place)

存档副本. [2006-07-26]. （原始内容存档于2006-12-29）.

swan.ac.uk (Global: low place; Chinese: low place)

www-maths.swan.ac.uk

[1]^{[永久失效連結]}

tus.ac.jp (Global: low place; Chinese: low place)

ma.noda.tus.ac.jp

Goto, T; Ohno, Y. Odd perfect numbers have a prime factor exceeding 10⁸ (PDF). Mathematics of Computation. 2008, 77 (263): 1859–1868 [30 March 2011]. Bibcode:2008MaCom..77.1859G. doi:10.1090/S0025-5718-08-02050-9 . （原始内容 (PDF)存档于2011-08-07）.

web.archive.org (Global: 1^st place; Chinese: 1^st place)

Pickover, C. Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford: Oxford University Press. 2001: 360 [2021-11-08]. ISBN 0-19-515799-0. （原始内容存档于2022-03-22）.
Peterson, I. Mathematical Treks: From Surreal Numbers to Magic Circles. Washington: Mathematical Association of America. 2002: 132 [2021-11-08]. ISBN 88-8358-537-2. （原始内容存档于2021-11-08）.
Roberts, T. On the Form of an Odd Perfect Number (PDF). Australian Mathematical Gazette. 2008, 35 (4): 244 [2021-03-15]. （原始内容存档 (PDF)于2013-05-14）.
存档副本. [2006-07-26]. （原始内容存档于2006-12-29）.
Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰ (PDF). Mathematics of Computation. 2012, 81 (279): 1869–1877 [2021-11-03]. ISSN 0025-5718. Zbl 1263.11005. doi:10.1090/S0025-5718-2012-02563-4 . （原始内容 (PDF)存档于2016-01-15）.
Zelinsky, Joshua. On the Total Number of Prime Factors of an Odd Perfect Number (PDF). Integers. 3 August 2021, 21 [7 August 2021]. （原始内容 (PDF)存档于2021-11-03）.
Nielsen, Pace P. An upper bound for odd perfect numbers. Integers. 2003, 3: A14–A22 [23 March 2021]. （原始内容存档于2003-02-21）.
Goto, T; Ohno, Y. Odd perfect numbers have a prime factor exceeding 10⁸ (PDF). Mathematics of Computation. 2008, 77 (263): 1859–1868 [30 March 2011]. Bibcode:2008MaCom..77.1859G. doi:10.1090/S0025-5718-08-02050-9 . （原始内容 (PDF)存档于2011-08-07）.
Iannucci, DE. The second largest prime divisor of an odd perfect number exceeds ten thousand (PDF). Mathematics of Computation. 1999, 68 (228): 1749–1760 [30 March 2011]. Bibcode:1999MaCom..68.1749I. doi:10.1090/S0025-5718-99-01126-6 . （原始内容 (PDF)存档于2021-11-03）.
Iannucci, DE. The third largest prime divisor of an odd perfect number exceeds one hundred (PDF). Mathematics of Computation. 2000, 69 (230): 867–879 [30 March 2011]. Bibcode:2000MaCom..69..867I. doi:10.1090/S0025-5718-99-01127-8. （原始内容存档 (PDF)于2013-05-17）.
Nielsen, Pace P. Odd perfect numbers, Diophantine equations, and upper bounds (PDF). Mathematics of Computation. 2015, 84 (295): 2549–2567 [13 August 2015]. doi:10.1090/S0025-5718-2015-02941-X . （原始内容 (PDF)存档于2015-07-08）.
Nielsen, Pace P. Odd perfect numbers have at least nine distinct prime factors (PDF). Mathematics of Computation. 2007, 76 (260): 2109–2126 [30 March 2011]. Bibcode:2007MaCom..76.2109N. arXiv:math/0602485 . doi:10.1090/S0025-5718-07-01990-4. （原始内容 (PDF)存档于2021-11-03）.

westga.edu (Global: low place; Chinese: low place)

Nielsen, Pace P. An upper bound for odd perfect numbers. Integers. 2003, 3: A14–A22 [23 March 2021]. （原始内容存档于2003-02-21）.

worldcat.org (Global: 5^th place; Chinese: 12^th place)

Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰ (PDF). Mathematics of Computation. 2012, 81 (279): 1869–1877 [2021-11-03]. ISSN 0025-5718. Zbl 1263.11005. doi:10.1090/S0025-5718-2012-02563-4 . （原始内容 (PDF)存档于2016-01-15）.

zbmath.org (Global: 1,923^rd place; Chinese: low place)

Ochem, Pascal; Rao, Michaël. Odd perfect numbers are greater than 10¹⁵⁰⁰ (PDF). Mathematics of Computation. 2012, 81 (279): 1869–1877 [2021-11-03]. ISSN 0025-5718. Zbl 1263.11005. doi:10.1090/S0025-5718-2012-02563-4 . （原始内容 (PDF)存档于2016-01-15）.

完全数 (Chinese Wikipedia)

ams.org (Global: 451st place; Chinese: 935th place)

archive.org (Global: 6th place; Chinese: 4th place)

arxiv.org (Global: 69th place; Chinese: 254th place)

austms.org.au (Global: low place; Chinese: low place)

books.google.com (Global: 3rd place; Chinese: 8th place)

byu.edu (Global: 1,687th place; Chinese: 4,450th place)

math.byu.edu

colgate.edu (Global: low place; Chinese: low place)

math.colgate.edu

doi.org (Global: 2nd place; Chinese: 23rd place)

harvard.edu (Global: 18th place; Chinese: 57th place)

ui.adsabs.harvard.edu

lirmm.fr (Global: low place; Chinese: low place)

oddperfect.org (Global: low place; Chinese: low place)

swan.ac.uk (Global: low place; Chinese: low place)

www-maths.swan.ac.uk

tus.ac.jp (Global: low place; Chinese: low place)

ma.noda.tus.ac.jp

web.archive.org (Global: 1st place; Chinese: 1st place)

westga.edu (Global: low place; Chinese: low place)

worldcat.org (Global: 5th place; Chinese: 12th place)

zbmath.org (Global: 1,923rd place; Chinese: low place)

ams.org (Global: 451^st place; Chinese: 935^th place)

archive.org (Global: 6^th place; Chinese: 4^th place)

arxiv.org (Global: 69^th place; Chinese: 254^th place)

books.google.com (Global: 3^rd place; Chinese: 8^th place)

byu.edu (Global: 1,687^th place; Chinese: 4,450^th place)

doi.org (Global: 2^nd place; Chinese: 23^rd place)

harvard.edu (Global: 18^th place; Chinese: 57^th place)

web.archive.org (Global: 1^st place; Chinese: 1^st place)

worldcat.org (Global: 5^th place; Chinese: 12^th place)

zbmath.org (Global: 1,923^rd place; Chinese: low place)