On a permutation group related to ζ(2)
Acta Arithmetica (1996)
- Volume: 77, Issue: 1, page 23-56
- ISSN: 0065-1036
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top- [1] F. Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull. London Math. Soc. 11 (1979), 268-272. Zbl0421.10023
- [2] A. C. Dixon, On a certain double integral, Proc. London Math. Soc. (2) 2 (1905), 8-15. Zbl35.0320.01
- [3] R. Dvornicich and C. Viola, Some remarks on Beukers' integrals, in: Colloq. Math. Soc. János Bolyai 51, Budapest, 1987, 637-657. Zbl0755.11019
- [4] A. Erdélyi et al., Higher Transcendental Functions (Bateman Manuscript Project), Vol. 1, McGraw-Hill, New York, 1953. Zbl0051.30303
- [5] M. Hata, Legendre type polynomials and irrationality measures, J. Reine Angew. Math. 407 (1990), 99-125. Zbl0692.10034
- [6] M. Hata, Rational approximations to π and some other numbers, Acta Arith. 63 (1993), 335-349.
- [7] M. Hata, A note on Beukers' integral, J. Austral. Math. Soc. A 58 (1995), 143-153. Zbl0830.11026
- [8] G. Rhin and C. Viola, On the irrationality measure of ζ(2), Ann. Inst. Fourier (Grenoble) 43 (1993), 85-109.
- [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). Zbl0635.10025
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