カタランの定数 (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "カタランの定数" in Japanese language version.

refsWebsite

Global rank Japanese rank

12doi.org

2^nd place

6^th place

8ams.org

451^st place

1,252^nd place

6harvard.edu

18^th place

107^th place

5numberworld.org

low place

4web.archive.org

1^st place

3arxiv.org

69^th place

227^th place

1gutenberg.org

489^th place

1,367^th place

1uliege.be

low place

1handle.net

102^nd place

78^th place

1msri.org

low place

1jstor.org

26^th place

275^th place

1free.fr

321^st place

1,555^th place

1calico.jp

low place

1ehfd.github.io

low place

1centrale-marseille.fr

low place

1zbmath.org

1,923^rd place

3,500^th place

1archive.org

6^th place

146^th place

1wcupa.edu

low place

1oeis.org

742^nd place

1,117^th place

ams.org

mathscinet.ams.org

Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn (2013), “The computation of previously inaccessible digits of $π 2$ and Catalan's constant”, Notices of the American Mathematical Society 60 (7): 844–854, doi:10.1090/noti1015, MR 3086394
Goldstein, Catherine (2015), “The mathematical achievements of Eugène Catalan”, Bulletin de la Société Royale des Sciences de Liège 84: 74–92, MR3498215
Agol, Ian (2010), “The minimal volume orientable hyperbolic 2-cusped 3-manifolds”, Proceedings of the American Mathematical Society 138 (10): 3723–3732, arXiv:0804.0043, doi:10.1090/S0002-9939-10-10364-5, MR2661571 .
Wu, F. Y. (1977), “Number of spanning trees on a lattice”, Journal of Physics 10 (6): L113–L115, Bibcode: 1977JPhA...10L.113W, doi:10.1088/0305-4470/10/6/004, MR489559
Kasteleyn, P. W. (1963), “A soluble self-avoiding walk problem”, Physica 29 (12): 1329–1337, Bibcode: 1963Phy....29.1329K, doi:10.1016/S0031-8914(63)80241-4, MR159642
Shanks, Daniel (1959), “A sieve method for factoring numbers of the form $n 2 +1$ ”, Mathematical Tables and Other Aids to Computation 13: 78–86, doi:10.2307/2001956, JSTOR 2001956, MR105784, https://jstor.org/stable/2001956
Stewart, Seán M. (2020), “A Catalan constant inspired integral odyssey”, The Mathematical Gazette 104 (561): 449–459, doi:10.1017/mag.2020.99, MR4163926
Karatsuba, E. A. (1991). “Fast evaluation of transcendental functions”. Probl. Inf. Transm. 27 (4): 339–360. MR1156939. Zbl 0754.65021.

archive.org

Karatsuba, E. A. (2001). “Fast computation of some special integrals of mathematical physics”. In Krämer, W.; von Gudenberg, J. W.. Scientific Computing, Validated Numerics, Interval Methods. pp. 29–41. doi:10.1007/978-1-4757-6484-0_3

arxiv.org

Agol, Ian (2010), “The minimal volume orientable hyperbolic 2-cusped 3-manifolds”, Proceedings of the American Mathematical Society 138 (10): 3723–3732, arXiv:0804.0043, doi:10.1090/S0002-9939-10-10364-5, MR2661571 .
Broadhurst, D. J. (1998). "Polylogarithmic ladders, hypergeometric series and the ten millionth digits of $ζ (3)$ and $ζ (5)$ ". arXiv:math.CA/9803067。
Bowman, D. & Mc Laughlin, J. (2002). “Polynomial continued fractions” (English). Acta Arithmetica 103 (4): 329–342. arXiv:1812.08251. Bibcode: 2002AcAri.103..329B. doi:10.4064/aa103-4-3. オリジナルの2020-04-13時点におけるアーカイブ。.

calico.jp

ja0hxv.calico.jp

“Shigeru Kondo's website”. 2008年2月11日時点のオリジナルよりアーカイブ。2008年1月31日閲覧。

centrale-marseille.fr

iblagouchine.perso.centrale-marseille.fr

Blagouchine, Iaroslav (2014). “Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results”. The Ramanujan Journal 35: 21–110. doi:10.1007/s11139-013-9528-5. オリジナルの2018-10-02時点におけるアーカイブ。 2018年10月1日閲覧。.

doi.org

Nesterenko, Yu. V. (January 2016), “On Catalan's constant”, Proceedings of the Steklov Institute of Mathematics 292 (1): 153–170, doi:10.1134/s0081543816010107 .
Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn (2013), “The computation of previously inaccessible digits of $π 2$ and Catalan's constant”, Notices of the American Mathematical Society 60 (7): 844–854, doi:10.1090/noti1015, MR 3086394
Agol, Ian (2010), “The minimal volume orientable hyperbolic 2-cusped 3-manifolds”, Proceedings of the American Mathematical Society 138 (10): 3723–3732, arXiv:0804.0043, doi:10.1090/S0002-9939-10-10364-5, MR2661571 .
Temperley, H. N. V.; Fisher, Michael E. (August 1961), “Dimer problem in statistical mechanics—an exact result”, Philosophical Magazine 6 (68): 1061–1063, Bibcode: 1961PMag....6.1061T, doi:10.1080/14786436108243366
Wu, F. Y. (1977), “Number of spanning trees on a lattice”, Journal of Physics 10 (6): L113–L115, Bibcode: 1977JPhA...10L.113W, doi:10.1088/0305-4470/10/6/004, MR489559
Kasteleyn, P. W. (1963), “A soluble self-avoiding walk problem”, Physica 29 (12): 1329–1337, Bibcode: 1963Phy....29.1329K, doi:10.1016/S0031-8914(63)80241-4, MR159642
Shanks, Daniel (1959), “A sieve method for factoring numbers of the form $n 2 +1$ ”, Mathematical Tables and Other Aids to Computation 13: 78–86, doi:10.2307/2001956, JSTOR 2001956, MR105784, https://jstor.org/stable/2001956
Wyse, A. B.; Mayall, N. U. (January 1942), “Distribution of Mass in the Spiral Nebulae Messier 31 and Messier 33.”, The Astrophysical Journal 95: 24–47, Bibcode: 1942ApJ....95...24W, doi:10.1086/144370
Stewart, Seán M. (2020), “A Catalan constant inspired integral odyssey”, The Mathematical Gazette 104 (561): 449–459, doi:10.1017/mag.2020.99, MR4163926
Blagouchine, Iaroslav (2014). “Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results”. The Ramanujan Journal 35: 21–110. doi:10.1007/s11139-013-9528-5. オリジナルの2018-10-02時点におけるアーカイブ。 2018年10月1日閲覧。.
Karatsuba, E. A. (2001). “Fast computation of some special integrals of mathematical physics”. In Krämer, W.; von Gudenberg, J. W.. Scientific Computing, Validated Numerics, Interval Methods. pp. 29–41. doi:10.1007/978-1-4757-6484-0_3
Bowman, D. & Mc Laughlin, J. (2002). “Polynomial continued fractions” (English). Acta Arithmetica 103 (4): 329–342. arXiv:1812.08251. Bibcode: 2002AcAri.103..329B. doi:10.4064/aa103-4-3. オリジナルの2020-04-13時点におけるアーカイブ。.

ehfd.github.io

“Catalan's constant world record by Seungmin Kim” (23 July 2019). 17 October 2020閲覧。

free.fr

numbers.computation.free.fr

“Constants and Records of Computation”. 11 September 2007閲覧。

gutenberg.org

Papanikolaou, Thomas (March 1997). Catalan's Constant to 1,500,000 Places. https://www.gutenberg.org/ebooks/812

handle.net

hdl.handle.net

Catalan, E. (1865), “Mémoire sur la transformation des séries et sur quelques intégrales définies” (フランス語), Ers, Publiés Par l'Académie Royale des Sciences, des Lettres et des Beaux-Arts de Belgique. Collection in 4, Mémoires de l'Académie royale des sciences, des lettres et des beaux-arts de Belgique (Brussels) 33, hdl:2268/193841

harvard.edu

ui.adsabs.harvard.edu

Temperley, H. N. V.; Fisher, Michael E. (August 1961), “Dimer problem in statistical mechanics—an exact result”, Philosophical Magazine 6 (68): 1061–1063, Bibcode: 1961PMag....6.1061T, doi:10.1080/14786436108243366
Wu, F. Y. (1977), “Number of spanning trees on a lattice”, Journal of Physics 10 (6): L113–L115, Bibcode: 1977JPhA...10L.113W, doi:10.1088/0305-4470/10/6/004, MR489559
Kasteleyn, P. W. (1963), “A soluble self-avoiding walk problem”, Physica 29 (12): 1329–1337, Bibcode: 1963Phy....29.1329K, doi:10.1016/S0031-8914(63)80241-4, MR159642
Wyse, A. B.; Mayall, N. U. (January 1942), “Distribution of Mass in the Spiral Nebulae Messier 31 and Messier 33.”, The Astrophysical Journal 95: 24–47, Bibcode: 1942ApJ....95...24W, doi:10.1086/144370
van der Kruit, P. C. (March 1988), “The three-dimensional distribution of light and mass in disks of spiral galaxies.”, Astronomy & Astrophysics 192: 117–127, Bibcode: 1988A&A...192..117V
Bowman, D. & Mc Laughlin, J. (2002). “Polynomial continued fractions” (English). Acta Arithmetica 103 (4): 329–342. arXiv:1812.08251. Bibcode: 2002AcAri.103..329B. doi:10.4064/aa103-4-3. オリジナルの2020-04-13時点におけるアーカイブ。.

jstor.org

Shanks, Daniel (1959), “A sieve method for factoring numbers of the form $n 2 +1$ ”, Mathematical Tables and Other Aids to Computation 13: 78–86, doi:10.2307/2001956, JSTOR 2001956, MR105784, https://jstor.org/stable/2001956

msri.org

library.msri.org

William Thurston (March 2002), “7. Computation of volume”, The Geometry and Topology of Three-Manifolds, p. 165

numberworld.org

“Large Computations”. 31 January 2009閲覧。
“Catalan's constant records using YMP”. 14 May 2016閲覧。
“Catalan's constant records using YMP”. 22 July 2019時点のオリジナルよりアーカイブ。22 July 2019閲覧。
“Records set by y-cruncher”. www.numberworld.org. 2022年2月13日閲覧。
Alexander Yee (14 May 2019). “Formulas and Algorithms”. 5 December 2021閲覧。

oeis.org

“A014538 - OEIS”. oeis.org. 2022年10月27日閲覧。

uliege.be

popups.uliege.be

Goldstein, Catherine (2015), “The mathematical achievements of Eugène Catalan”, Bulletin de la Société Royale des Sciences de Liège 84: 74–92, MR3498215

wcupa.edu

Bowman, D. & Mc Laughlin, J. (2002). “Polynomial continued fractions” (English). Acta Arithmetica 103 (4): 329–342. arXiv:1812.08251. Bibcode: 2002AcAri.103..329B. doi:10.4064/aa103-4-3. オリジナルの2020-04-13時点におけるアーカイブ。.

web.archive.org

zbmath.org

Karatsuba, E. A. (1991). “Fast evaluation of transcendental functions”. Probl. Inf. Transm. 27 (4): 339–360. MR1156939. Zbl 0754.65021.