Ramanujan–Sato series (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Ramanujan–Sato series" in English language version.

refsWebsite

Global rank English rank

9doi.org

2^nd place

4semanticscholar.org

11^th place

8^th place

2handle.net

102^nd place

76^th place

2nih.gov

4^th place

1web.archive.org

1^st place

1arxiv.org

69^th place

59^th place

1sirinudi.org

low place

1mpg.de

1,624^th place

1,592^nd place

1harvard.edu

18^th place

17^th place

1worldcat.org

5^th place

1jstor.org

26^th place

20^th place

1maa.org

3,479^th place

2,444^th place

1umn.edu

1,266^th place

860^th place

arxiv.org

Almkvist, G. (2012). "Some conjectured formulas for 1/π coming from polytopes, K3-surfaces and Moonshine". arXiv:1211.6563 [math.NT].

doi.org

Chan, Heng Huat; Chan, Song Heng; Liu, Zhiguo (2004). "Domb's numbers and Ramanujan–Sato type series for 1/ $π$ ". Advances in Mathematics. 186 (2): 396–410. doi:10.1016/j.aim.2003.07.012.
Almkvist, Gert; Guillera, Jesus (2013). "Ramanujan–Sato-Like Series". In Borwein, J.; Shparlinski, I.; Zudilin, W. (eds.). Number Theory and Related Fields. Springer Proceedings in Mathematics & Statistics. Vol. 43. New York: Springer. pp. 55–74. doi:10.1007/978-1-4614-6642-0_2. ISBN 978-1-4614-6641-3. S2CID 44875082.
Chan, H. H.; Cooper, S. (2012). "Rational analogues of Ramanujan's series for 1/π" (PDF). Mathematical Proceedings of the Cambridge Philosophical Society. 153 (2): 361–383. doi:10.1017/S0305004112000254. S2CID 76656590. Archived from the original (PDF) on 2019-12-19.
Chan; Tanigawa; Yang; Zudilin (2011). "New analogues of Clausen's identities arising from the theory of modular forms". Advances in Mathematics. 228 (2): 1294–1314. doi:10.1016/j.aim.2011.06.011. hdl:1959.13/934806.
Chan, H.; Verrill, H. (2009). "The Apéry numbers, the Almkvist–Zudilin Numbers, and new series for 1/π". Mathematical Research Letters. 16 (3): 405–420. doi:10.4310/MRL.2009.v16.n3.a3.
Cooper, S. (2012). "Sporadic sequences, modular forms and new series for 1/π". Ramanujan Journal. 29 (1–3): 163–183. doi:10.1007/s11139-011-9357-3. S2CID 122870693.
Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation of Classical Constants", Proceedings of the National Academy of Sciences of the United States of America, 86 (21): 8178–8182, Bibcode:1989PNAS...86.8178C, doi:10.1073/pnas.86.21.8178, ISSN 0027-8424, JSTOR 34831, PMC 298242, PMID 16594075.
Borwein, J. M.; Borwein, P. B.; Bailey, D. H. (1989). "Ramanujan, modular equations, and approximations to pi; Or how to compute one billion digits of pi" (PDF). Amer. Math. Monthly. 96 (3): 201–219. doi:10.1080/00029890.1989.11972169.
Conway, J.; Norton, S. (1979). "Monstrous Moonshine". Bulletin of the London Mathematical Society. 11 (3): 308–339 [p. 319]. doi:10.1112/blms/11.3.308.

handle.net

hdl.handle.net

Chan; Tanigawa; Yang; Zudilin (2011). "New analogues of Clausen's identities arising from the theory of modular forms". Advances in Mathematics. 228 (2): 1294–1314. doi:10.1016/j.aim.2011.06.011. hdl:1959.13/934806.
Yee, Alexander; Kondo, Shigeru (2011), 10 Trillion Digits of Pi: A Case Study of summing Hypergeometric Series to high precision on Multicore Systems, Technical Report, Computer Science Department, University of Illinois, hdl:2142/28348.

harvard.edu

ui.adsabs.harvard.edu

Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation of Classical Constants", Proceedings of the National Academy of Sciences of the United States of America, 86 (21): 8178–8182, Bibcode:1989PNAS...86.8178C, doi:10.1073/pnas.86.21.8178, ISSN 0027-8424, JSTOR 34831, PMC 298242, PMID 16594075.

jstor.org

Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation of Classical Constants", Proceedings of the National Academy of Sciences of the United States of America, 86 (21): 8178–8182, Bibcode:1989PNAS...86.8178C, doi:10.1073/pnas.86.21.8178, ISSN 0027-8424, JSTOR 34831, PMC 298242, PMID 16594075.

maa.org

Borwein, J. M.; Borwein, P. B.; Bailey, D. H. (1989). "Ramanujan, modular equations, and approximations to pi; Or how to compute one billion digits of pi" (PDF). Amer. Math. Monthly. 96 (3): 201–219. doi:10.1080/00029890.1989.11972169.

mpg.de

people.mpim-bonn.mpg.de

Zagier, D. (2000). "Traces of Singular Moduli" (PDF). pp. 15–16.

nih.gov

ncbi.nlm.nih.gov

Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation of Classical Constants", Proceedings of the National Academy of Sciences of the United States of America, 86 (21): 8178–8182, Bibcode:1989PNAS...86.8178C, doi:10.1073/pnas.86.21.8178, ISSN 0027-8424, JSTOR 34831, PMC 298242, PMID 16594075.

pubmed.ncbi.nlm.nih.gov

Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation of Classical Constants", Proceedings of the National Academy of Sciences of the United States of America, 86 (21): 8178–8182, Bibcode:1989PNAS...86.8178C, doi:10.1073/pnas.86.21.8178, ISSN 0027-8424, JSTOR 34831, PMC 298242, PMID 16594075.

semanticscholar.org

api.semanticscholar.org

Almkvist, Gert; Guillera, Jesus (2013). "Ramanujan–Sato-Like Series". In Borwein, J.; Shparlinski, I.; Zudilin, W. (eds.). Number Theory and Related Fields. Springer Proceedings in Mathematics & Statistics. Vol. 43. New York: Springer. pp. 55–74. doi:10.1007/978-1-4614-6642-0_2. ISBN 978-1-4614-6641-3. S2CID 44875082.
Chan, H. H.; Cooper, S. (2012). "Rational analogues of Ramanujan's series for 1/π" (PDF). Mathematical Proceedings of the Cambridge Philosophical Society. 153 (2): 361–383. doi:10.1017/S0305004112000254. S2CID 76656590. Archived from the original (PDF) on 2019-12-19.
Cooper, S. (2012). "Sporadic sequences, modular forms and new series for 1/π". Ramanujan Journal. 29 (1–3): 163–183. doi:10.1007/s11139-011-9357-3. S2CID 122870693.

pdfs.semanticscholar.org

Chan, H. H.; Cooper, S. (2012). "Rational analogues of Ramanujan's series for 1/π" (PDF). Mathematical Proceedings of the Cambridge Philosophical Society. 153 (2): 361–383. doi:10.1017/S0305004112000254. S2CID 76656590. Archived from the original (PDF) on 2019-12-19.

sirinudi.org

ramanujan.sirinudi.org

Ramanujan, S. (1914). "Modular equations and approximations to π". Quart. J. Math. 45. Oxford: 350–372.

umn.edu

www-users.math.umn.edu

Cooper, S. (December 2013). "Ramanujan's theories of elliptic functions to alternative bases, and beyond" (PDF). Askey 80 Conference.

web.archive.org

Chan, H. H.; Cooper, S. (2012). "Rational analogues of Ramanujan's series for 1/π" (PDF). Mathematical Proceedings of the Cambridge Philosophical Society. 153 (2): 361–383. doi:10.1017/S0305004112000254. S2CID 76656590. Archived from the original (PDF) on 2019-12-19.

worldcat.org

search.worldcat.org

Chudnovsky, David V.; Chudnovsky, Gregory V. (1989), "The Computation of Classical Constants", Proceedings of the National Academy of Sciences of the United States of America, 86 (21): 8178–8182, Bibcode:1989PNAS...86.8178C, doi:10.1073/pnas.86.21.8178, ISSN 0027-8424, JSTOR 34831, PMC 298242, PMID 16594075.