On a permutation group related to ζ(2)

Acta Arithmetica

Volumn 77, Issue 1, 1996, Pages 23-56

  Rhin, Georges ^a   Viola, Carlo ^b  

^a UNIVERSITÉ DE LORRAINE   (France)

^b UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040456990     PISSN: 00651036     EISSN: None     Source Type: Journal    
DOI: 10.4064/aa-77-1-23-56     Document Type: Article

References (9)

1. F. Beukers, A note on the irrationality of ζ(2) and ζ(3), Bull. London Math. Soc. 11 (1979), 268-272.
2. A. C. Dixon, On a certain double integral, Proc. London Math. Soc. (2) 2 (1905), 8-15.
3. R. Dvornicich and C. Viola, Some remarks on Beukers' integrals, in: Colloq. Math. Soc. János Bolyai 51, Budapest, 1987, 637-657.
4. A. Erdélyi et al., Higher Transcendental Functions (Bateman Manuscript Project), Vol. 1, McGraw-Hill, New York, 1953.
5. M. Hata, Legendre type polynomials and irrationality measures, J. Reine Angew. Math. 407 (1990), 99-125.
6. _, Rational approximations to π and some other numbers, Acta Arith. 63 (1993), 335-349.
7. _, A note on Beukers' integral, J. Austral. Math. Soc. A 58 (1995), 143-153.
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 In 2 by rational numbers, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1987 (6), 25-29 (in Russian).