Apéry's theorem (English Wikipedia)

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

refsWebsite

Global rank English rank

7doi.org

2^nd place

5semanticscholar.org

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8^th place

3arxiv.org

69^th place

59^th place

3harvard.edu

18^th place

17^th place

1uksw.edu.pl

low place

1emath.fr

low place

1mathnet.ru

8,783^rd place

low place

arxiv.org

Zudilin, W. (2002). "An Elementary Proof of Apéry's Theorem". arXiv:math/0202159.
Rivoal, T. (2000). "La fonction zeta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs". Comptes Rendus de l'Académie des Sciences, Série I. 331: 267–270. arXiv:math/0008051. Bibcode:2000CRASM.331..267R. doi:10.1016/S0764-4442(00)01624-4. S2CID 119678120.
H. E. Boos; V. E. Korepin; Y. Nishiyama; M. Shiroishi (2002). "Quantum Correlations and Number Theory". Journal of Physics A. 35 (20): 4443–4452. arXiv:cond-mat/0202346. Bibcode:2002JPhA...35.4443B. doi:10.1088/0305-4470/35/20/305. S2CID 119143600.

doi.org

Kohnen, Winfried (1989). "Transcendence conjectures about periods of modular forms and rational structures on spaces of modular forms". Proc. Indian Acad. Sci. Math. Sci. 99 (3): 231–233. doi:10.1007/BF02864395. S2CID 121346325.
A. van der Poorten (1979). "A proof that Euler missed..." (PDF). The Mathematical Intelligencer. 1 (4): 195–203. doi:10.1007/BF03028234. S2CID 121589323.
F. Beukers (1979). "A note on the irrationality of ζ(2) and ζ(3)". Bulletin of the London Mathematical Society. 11 (3): 268–272. doi:10.1112/blms/11.3.268.
Ю. В. Нестеренко (1996). Некоторые замечания о ζ(3). Матем. Заметки (in Russian). 59 (6): 865–880. doi:10.4213/mzm1785. English translation: Yu. V. Nesterenko (1996). "A Few Remarks on ζ(3)". Math. Notes. 59 (6): 625–636. doi:10.1007/BF02307212. S2CID 117487836.
Rivoal, T. (2000). "La fonction zeta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs". Comptes Rendus de l'Académie des Sciences, Série I. 331: 267–270. arXiv:math/0008051. Bibcode:2000CRASM.331..267R. doi:10.1016/S0764-4442(00)01624-4. S2CID 119678120.
W. Zudilin (2001). "One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational". Russ. Math. Surv. 56 (4): 774–776. Bibcode:2001RuMaS..56..774Z. doi:10.1070/RM2001v056n04ABEH000427.
H. E. Boos; V. E. Korepin; Y. Nishiyama; M. Shiroishi (2002). "Quantum Correlations and Number Theory". Journal of Physics A. 35 (20): 4443–4452. arXiv:cond-mat/0202346. Bibcode:2002JPhA...35.4443B. doi:10.1088/0305-4470/35/20/305. S2CID 119143600.

emath.fr

smf.emath.fr

Apéry, R. (1979). "Irrationalité de ζ(2) et ζ(3)". Astérisque. 61: 11–13.

harvard.edu

ui.adsabs.harvard.edu

Rivoal, T. (2000). "La fonction zeta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs". Comptes Rendus de l'Académie des Sciences, Série I. 331: 267–270. arXiv:math/0008051. Bibcode:2000CRASM.331..267R. doi:10.1016/S0764-4442(00)01624-4. S2CID 119678120.
W. Zudilin (2001). "One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational". Russ. Math. Surv. 56 (4): 774–776. Bibcode:2001RuMaS..56..774Z. doi:10.1070/RM2001v056n04ABEH000427.
H. E. Boos; V. E. Korepin; Y. Nishiyama; M. Shiroishi (2002). "Quantum Correlations and Number Theory". Journal of Physics A. 35 (20): 4443–4452. arXiv:cond-mat/0202346. Bibcode:2002JPhA...35.4443B. doi:10.1088/0305-4470/35/20/305. S2CID 119143600.

mathnet.ru

mi.mathnet.ru

Ю. В. Нестеренко (1996). Некоторые замечания о ζ(3). Матем. Заметки (in Russian). 59 (6): 865–880. doi:10.4213/mzm1785. English translation: Yu. V. Nesterenko (1996). "A Few Remarks on ζ(3)". Math. Notes. 59 (6): 625–636. doi:10.1007/BF02307212. S2CID 117487836.

semanticscholar.org

api.semanticscholar.org

Kohnen, Winfried (1989). "Transcendence conjectures about periods of modular forms and rational structures on spaces of modular forms". Proc. Indian Acad. Sci. Math. Sci. 99 (3): 231–233. doi:10.1007/BF02864395. S2CID 121346325.
A. van der Poorten (1979). "A proof that Euler missed..." (PDF). The Mathematical Intelligencer. 1 (4): 195–203. doi:10.1007/BF03028234. S2CID 121589323.
Ю. В. Нестеренко (1996). Некоторые замечания о ζ(3). Матем. Заметки (in Russian). 59 (6): 865–880. doi:10.4213/mzm1785. English translation: Yu. V. Nesterenko (1996). "A Few Remarks on ζ(3)". Math. Notes. 59 (6): 625–636. doi:10.1007/BF02307212. S2CID 117487836.
Rivoal, T. (2000). "La fonction zeta de Riemann prend une infinité de valeurs irrationnelles aux entiers impairs". Comptes Rendus de l'Académie des Sciences, Série I. 331: 267–270. arXiv:math/0008051. Bibcode:2000CRASM.331..267R. doi:10.1016/S0764-4442(00)01624-4. S2CID 119678120.
H. E. Boos; V. E. Korepin; Y. Nishiyama; M. Shiroishi (2002). "Quantum Correlations and Number Theory". Journal of Physics A. 35 (20): 4443–4452. arXiv:cond-mat/0202346. Bibcode:2002JPhA...35.4443B. doi:10.1088/0305-4470/35/20/305. S2CID 119143600.

uksw.edu.pl

pracownicy.uksw.edu.pl

A. van der Poorten (1979). "A proof that Euler missed..." (PDF). The Mathematical Intelligencer. 1 (4): 195–203. doi:10.1007/BF03028234. S2CID 121589323.