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

5arxiv.org

69^th place

59^th place

5semanticscholar.org

11^th place

8^th place

5web.archive.org

1^st place

5numberworld.org

low place

2handle.net

102^nd place

76^th place

1gutenberg.org

489^th place

377^th place

1uliege.be

low 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 (Global: 451^st place; English: 277^th place)

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 (Global: 6^th place; English: 6^th place)

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 (Global: 69^th place; English: 59^th place)

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.
Wadim Zudilin. An Apéry-like difference equation for Catalan's constant . https://arxiv.org/pdf/math/0201024v3

calico.jp (Global: low place; English: low place)

ja0hxv.calico.jp

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

centrale-marseille.fr (Global: low place; English: low place)

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 (Global: 2^nd place; English: 2^nd place)

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. hdl:1959.13/803688. 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 (Global: low place; English: low place)

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

free.fr (Global: 321^st place; English: 724^th place)

numbers.computation.free.fr

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

gutenberg.org (Global: 489^th place; English: 377^th place)

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

handle.net (Global: 102^nd place; English: 76^th place)

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.
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. hdl:1959.13/803688. ISSN 1432-1807.

harvard.edu (Global: 18^th place; English: 17^th place)

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 (Global: 26^th place; English: 20^th place)

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 (Global: low place; English: low place)

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 (Global: low place; English: low place)

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 (Global: 742^nd place; English: 538^th place)

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

semanticscholar.org (Global: 11^th place; English: 8^th place)

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 (Global: 274^th place; English: 309^th place)

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. hdl:1959.13/803688. ISSN 1432-1807.

uliege.be (Global: low place; English: low place)

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 (Global: low place; English: low place)

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 (Global: 1^st place; English: 1^st place)

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 (Global: 513^th place; English: 537^th place)

mathworld.wolfram.com

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

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

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. hdl:1959.13/803688. ISSN 1432-1807.

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)

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

Catalan's constant (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

arxiv.org (Global: 69th place; English: 59th place)

calico.jp (Global: low place; English: low place)

ja0hxv.calico.jp

centrale-marseille.fr (Global: low place; English: low place)

iblagouchine.perso.centrale-marseille.fr

doi.org (Global: 2nd place; English: 2nd place)

ehfd.github.io (Global: low place; English: low place)

free.fr (Global: 321st place; English: 724th place)

numbers.computation.free.fr

gutenberg.org (Global: 489th place; English: 377th place)

handle.net (Global: 102nd place; English: 76th place)

hdl.handle.net

harvard.edu (Global: 18th place; English: 17th place)

ui.adsabs.harvard.edu

jstor.org (Global: 26th place; English: 20th place)

msri.org (Global: low place; English: low place)

library.msri.org

numberworld.org (Global: low place; English: low place)

oeis.org (Global: 742nd place; English: 538th place)

semanticscholar.org (Global: 11th place; English: 8th place)

api.semanticscholar.org

springer.com (Global: 274th place; English: 309th place)

link.springer.com

uliege.be (Global: low place; English: low place)

popups.uliege.be

wcupa.edu (Global: low place; English: low place)

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

wolfram.com (Global: 513th place; English: 537th place)

mathworld.wolfram.com

worldcat.org (Global: 5th place; English: 5th place)

search.worldcat.org

zbmath.org (Global: 1,923rd place; English: 1,068th place)

ams.org (Global: 451^st place; English: 277^th place)

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

arxiv.org (Global: 69^th place; English: 59^th place)

doi.org (Global: 2^nd place; English: 2^nd place)

free.fr (Global: 321^st place; English: 724^th place)

gutenberg.org (Global: 489^th place; English: 377^th place)

handle.net (Global: 102^nd place; English: 76^th place)

harvard.edu (Global: 18^th place; English: 17^th place)

jstor.org (Global: 26^th place; English: 20^th place)

oeis.org (Global: 742^nd place; English: 538^th place)

semanticscholar.org (Global: 11^th place; English: 8^th place)

springer.com (Global: 274^th place; English: 309^th place)

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

wolfram.com (Global: 513^th place; English: 537^th place)

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

zbmath.org (Global: 1,923^rd place; English: 1,068^th place)