Catalan's constant (English Wikipedia)

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

refsWebsite

Global rank English rank

14doi.org

2^nd place

8ams.org

451^st place

277^th place

6harvard.edu

18^th place

17^th place

5semanticscholar.org

11^th place

8^th place

5web.archive.org

1^st place

5numberworld.org

low place

4arxiv.org

69^th place

59^th place

1gutenberg.org

489^th place

377^th place

1uliege.be

low place

1handle.net

102^nd place

76^th place

1msri.org

low place

1jstor.org

26^th place

20^th place

1springer.com

274^th place

309^th place

1worldcat.org

5^th place

1wolfram.com

513^th place

537^th place

1zbmath.org

1,923^rd place

1,068^th place

1archive.org

6^th place

1centrale-marseille.fr

low place

1wcupa.edu

low place

1oeis.org

742^nd place

538^th place

1free.fr

321^st place

724^th place

1calico.jp

low place

1ehfd.github.io

low place

ams.org

mathscinet.ams.org

Goldstein, Catherine (2015). "The mathematical achievements of Eugène Catalan". Bulletin de la Société Royale des Sciences de Liège. 84: 74–92. MR 3498215.
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. MR 2661571. S2CID 2016662..
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. MR 0489559.
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. MR 0159642.
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. MR 0105784.
Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn (2013). "The computation of previously inaccessible digits of $\pi ^{2}$ and Catalan's constant". Notices of the American Mathematical Society. 60 (7): 844–854. doi:10.1090/noti1015. MR 3086394.
Karatsuba, E. A. (1991). "Fast evaluation of transcendental functions". Probl. Inf. Transm. 27 (4): 339–360. MR 1156939. Zbl 0754.65021.
Stewart, Seán M. (2020). "A Catalan constant inspired integral odyssey". The Mathematical Gazette. 104 (561): 449–459. doi:10.1017/mag.2020.99. MR 4163926. S2CID 225116026.

archive.org

Karatsuba, E. A. (2001). "Fast computation of some special integrals of mathematical physics". In Krämer, W.; von Gudenberg, J. W. (eds.). Scientific Computing, Validated Numerics, Interval Methods. pp. 29–41. doi:10.1007/978-1-4757-6484-0_3. ISBN 978-1-4419-3376-8.

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. MR 2661571. S2CID 2016662..
Zudilin, Wadim (2018-04-26). "Arithmetic of Catalan's constant and its relatives". Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 89: 45–53. arXiv:1804.09922. doi:10.1007/s12188-019-00203-w.
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" (PDF). Acta Arithmetica. 103 (4): 329–342. arXiv:1812.08251. Bibcode:2002AcAri.103..329B. doi:10.4064/aa103-4-3. S2CID 119137246. Archived (PDF) from the original on 2020-04-13.

calico.jp

ja0hxv.calico.jp

"Shigeru Kondo's website". Archived from the original on 2008-02-11. Retrieved 2008-01-31.

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" (PDF). The Ramanujan Journal. 35: 21–110. doi:10.1007/s11139-013-9528-5. S2CID 120943474. Archived from the original (PDF) on 2018-10-02. Retrieved 2018-10-01.

doi.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. MR 2661571. S2CID 2016662..
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. MR 0489559.
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. MR 0159642.
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. MR 0105784.
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.
Nesterenko, Yu. V. (January 2016). "On Catalan's constant". Proceedings of the Steklov Institute of Mathematics. 292 (1): 153–170. doi:10.1134/s0081543816010107. S2CID 124903059..
Bailey, David H.; Borwein, Jonathan M.; Mattingly, Andrew; Wightwick, Glenn (2013). "The computation of previously inaccessible digits of $\pi ^{2}$ and Catalan's constant". Notices of the American Mathematical Society. 60 (7): 844–854. doi:10.1090/noti1015. MR 3086394.
Rivoal, T.; Zudilin, W. (2003-08-01). "Diophantine properties of numbers related to Catalan's constant". Mathematische Annalen. 326 (4): 705–721. doi:10.1007/s00208-003-0420-2. ISSN 1432-1807.
Zudilin, Wadim (2018-04-26). "Arithmetic of Catalan's constant and its relatives". Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg. 89: 45–53. arXiv:1804.09922. doi:10.1007/s12188-019-00203-w.
Karatsuba, E. A. (2001). "Fast computation of some special integrals of mathematical physics". In Krämer, W.; von Gudenberg, J. W. (eds.). Scientific Computing, Validated Numerics, Interval Methods. pp. 29–41. doi:10.1007/978-1-4757-6484-0_3. ISBN 978-1-4419-3376-8.
Stewart, Seán M. (2020). "A Catalan constant inspired integral odyssey". The Mathematical Gazette. 104 (561): 449–459. doi:10.1017/mag.2020.99. MR 4163926. S2CID 225116026.
Blagouchine, Iaroslav (2014). "Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results" (PDF). The Ramanujan Journal. 35: 21–110. doi:10.1007/s11139-013-9528-5. S2CID 120943474. Archived from the original (PDF) on 2018-10-02. Retrieved 2018-10-01.
Bowman, D. & Mc Laughlin, J. (2002). "Polynomial continued fractions" (PDF). Acta Arithmetica. 103 (4): 329–342. arXiv:1812.08251. Bibcode:2002AcAri.103..329B. doi:10.4064/aa103-4-3. S2CID 119137246. Archived (PDF) from the original on 2020-04-13.

ehfd.github.io

"Catalan's constant world record by Seungmin Kim". 23 July 2019. Retrieved 17 October 2020.

free.fr

numbers.computation.free.fr

Gourdon, X.; Sebah, P. "Constants and Records of Computation". Retrieved 11 September 2007.

gutenberg.org

Papanikolaou, Thomas (March 1997). Catalan's Constant to 1,500,000 Places – via Gutenberg.org.

handle.net

hdl.handle.net

Catalan, E. (1865). "Mémoire sur la transformation des séries et sur quelques intégrales définies". 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 (in French). 33. Brussels. 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. MR 0489559.
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. MR 0159642.
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" (PDF). Acta Arithmetica. 103 (4): 329–342. arXiv:1812.08251. Bibcode:2002AcAri.103..329B. doi:10.4064/aa103-4-3. S2CID 119137246. Archived (PDF) from the original on 2020-04-13.

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. MR 0105784.

msri.org

library.msri.org

William Thurston (March 2002). "7. Computation of volume" (PDF). The Geometry and Topology of Three-Manifolds. p. 165. Archived (PDF) from the original on 2011-01-25.

numberworld.org

Alexander Yee (14 May 2019). "Formulas and Algorithms". Retrieved 5 December 2021.
"Large Computations". Retrieved 31 January 2009.
"Catalan's constant records using YMP". Retrieved 14 May 2016.
"Catalan's constant records using YMP". Archived from the original on 22 July 2019. Retrieved 22 July 2019.
"Records set by y-cruncher". www.numberworld.org. Retrieved 2022-02-13.

oeis.org

"A014538 - OEIS". oeis.org. Retrieved 2022-10-27.

semanticscholar.org

api.semanticscholar.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. MR 2661571. S2CID 2016662..
Nesterenko, Yu. V. (January 2016). "On Catalan's constant". Proceedings of the Steklov Institute of Mathematics. 292 (1): 153–170. doi:10.1134/s0081543816010107. S2CID 124903059..
Stewart, Seán M. (2020). "A Catalan constant inspired integral odyssey". The Mathematical Gazette. 104 (561): 449–459. doi:10.1017/mag.2020.99. MR 4163926. S2CID 225116026.
Blagouchine, Iaroslav (2014). "Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results" (PDF). The Ramanujan Journal. 35: 21–110. doi:10.1007/s11139-013-9528-5. S2CID 120943474. Archived from the original (PDF) on 2018-10-02. Retrieved 2018-10-01.
Bowman, D. & Mc Laughlin, J. (2002). "Polynomial continued fractions" (PDF). Acta Arithmetica. 103 (4): 329–342. arXiv:1812.08251. Bibcode:2002AcAri.103..329B. doi:10.4064/aa103-4-3. S2CID 119137246. Archived (PDF) from the original on 2020-04-13.

springer.com

link.springer.com

Rivoal, T.; Zudilin, W. (2003-08-01). "Diophantine properties of numbers related to Catalan's constant". Mathematische Annalen. 326 (4): 705–721. doi:10.1007/s00208-003-0420-2. ISSN 1432-1807.

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. MR 3498215.

wcupa.edu

Bowman, D. & Mc Laughlin, J. (2002). "Polynomial continued fractions" (PDF). Acta Arithmetica. 103 (4): 329–342. arXiv:1812.08251. Bibcode:2002AcAri.103..329B. doi:10.4064/aa103-4-3. S2CID 119137246. Archived (PDF) from the original on 2020-04-13.

web.archive.org

William Thurston (March 2002). "7. Computation of volume" (PDF). The Geometry and Topology of Three-Manifolds. p. 165. Archived (PDF) from the original on 2011-01-25.
Blagouchine, Iaroslav (2014). "Rediscovery of Malmsten's integrals, their evaluation by contour integration methods and some related results" (PDF). The Ramanujan Journal. 35: 21–110. doi:10.1007/s11139-013-9528-5. S2CID 120943474. Archived from the original (PDF) on 2018-10-02. Retrieved 2018-10-01.
Bowman, D. & Mc Laughlin, J. (2002). "Polynomial continued fractions" (PDF). Acta Arithmetica. 103 (4): 329–342. arXiv:1812.08251. Bibcode:2002AcAri.103..329B. doi:10.4064/aa103-4-3. S2CID 119137246. Archived (PDF) from the original on 2020-04-13.
"Shigeru Kondo's website". Archived from the original on 2008-02-11. Retrieved 2008-01-31.
"Catalan's constant records using YMP". Archived from the original on 22 July 2019. Retrieved 22 July 2019.

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Catalan's Constant". mathworld.wolfram.com. Retrieved 2024-10-02.

worldcat.org

search.worldcat.org

Rivoal, T.; Zudilin, W. (2003-08-01). "Diophantine properties of numbers related to Catalan's constant". Mathematische Annalen. 326 (4): 705–721. doi:10.1007/s00208-003-0420-2. ISSN 1432-1807.

zbmath.org

Karatsuba, E. A. (1991). "Fast evaluation of transcendental functions". Probl. Inf. Transm. 27 (4): 339–360. MR 1156939. Zbl 0754.65021.