アペリーの定理 (Japanese Wikipedia)

Analysis of information sources in references of the Wikipedia article "アペリーの定理" in Japanese language version.

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arxiv.org

W. Zudilin (2002), An Elementary Proof of Apéry's Theorem.
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. Mathématique 331: 267–270. arXiv:math/0008051. doi:10.1016/S0764-4442(00)01624-4.

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.
A. van der Poorten (1979). “A proof that Euler missed...”. The Mathematical Intelligencer 1 (4): 195–203. doi:10.1007/BF03028234.
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)” (Russian). Матем. Заметки 59 (6): 865–880. http://mi.mathnet.ru/mz1785. English translation: Yu. V. Nesterenko (1996). “A Few Remarks on ζ(3)”. Math. Notes 59 (6): 625–636. doi:10.1007/BF02307212. Mi mz1785.
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. Mathématique 331: 267–270. arXiv:math/0008051. doi:10.1016/S0764-4442(00)01624-4.
W. Zudilin (2001). “One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational”. Russ. Math. Surv. 56 (4): 774–776. doi:10.1070/RM2001v056n04ABEH000427.

Ю. В. Нестеренко (1996). “Некоторые замечания о ζ(3)” (Russian). Матем. Заметки 59 (6): 865–880. http://mi.mathnet.ru/mz1785. English translation: Yu. V. Nesterenko (1996). “A Few Remarks on ζ(3)”. Math. Notes 59 (6): 625–636. doi:10.1007/BF02307212. Mi mz1785.

Ю. В. Нестеренко (1996). “Некоторые замечания о ζ(3)” (Russian). Матем. Заметки 59 (6): 865–880. http://mi.mathnet.ru/mz1785. English translation: Yu. V. Nesterenko (1996). “A Few Remarks on ζ(3)”. Math. Notes 59 (6): 625–636. doi:10.1007/BF02307212. Mi mz1785.