On a permutation group related to ζ(2)
Georges Rhin ; Carlo Viola
Acta Arithmetica, Tome 76 (1996), p. 23-56 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1996-01-01
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     title = {On a permutation group related to $\zeta$(2)},
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     year = {1996},
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Georges Rhin; Carlo Viola. On a permutation group related to ζ(2). Acta Arithmetica, Tome 76 (1996) pp. 23-56. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav77i1p23bwm/

[000] [1] F. Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull. London Math. Soc. 11 (1979), 268-272. | Zbl 0421.10023

[001] [2] A. C. Dixon, On a certain double integral, Proc. London Math. Soc. (2) 2 (1905), 8-15. | Zbl 35.0320.01

[002] [3] R. Dvornicich and C. Viola, Some remarks on Beukers' integrals, in: Colloq. Math. Soc. János Bolyai 51, Budapest, 1987, 637-657. | Zbl 0755.11019

[003] [4] A. Erdélyi et al., Higher Transcendental Functions (Bateman Manuscript Project), Vol. 1, McGraw-Hill, New York, 1953. | Zbl 0051.30303

[004] [5] M. Hata, Legendre type polynomials and irrationality measures, J. Reine Angew. Math. 407 (1990), 99-125. | Zbl 0692.10034

[005] [6] M. Hata, Rational approximations to π and some other numbers, Acta Arith. 63 (1993), 335-349.

[006] [7] M. Hata, A note on Beukers' integral, J. Austral. Math. Soc. A 58 (1995), 143-153. | Zbl 0830.11026

[007] [8] G. Rhin and C. Viola, On the irrationality measure of ζ(2), Ann. Inst. Fourier (Grenoble) 43 (1993), 85-109.

[008] [9] E. A. Rukhadze, A lower bound for the approximation of ln 2 by rational numbers, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1987 (6), 25-29 (in Russian). | Zbl 0635.10025