REFERENCES
- Alladi , K. and Robinson , M. L. 1980 . “Legendre polynomials and irrationality” . J. Reine Angew. Math. , 318 : 137 – 155 . [Alladi and Robinson 1980]
- Bateman , H. 1953 . Higher transcendental functions Edited by: Erdélyi , A. vol. 1 , Mc Graw-Hill. . [Bateman 1953]
- Batut , C. , Belabas , K. , Bernardi , D. , Cohen , H. and Olivier , M. 1999 . “Pari-GP, version 2.0” [Batut et al. 1999], See ftp://megrez.math.u-bordeaux.fr/pub/parisoftware
- Beukers , F. 1979 . “A note on the irrationality of ζ(2) and ζ(3)” . Bull. London Math. Soc. , 11 ( 3 ) : 268 – 272 . [Beukers 1979]
- Chudnovsky , G. V. 1982 . “Hermite-Padé approximations to exponential functions and elementary estimates of the measure of irrationality of π”. ” . In The Riemann problem, complete integrability and arithmetic applications (Bures-sur-Yvette and New York, 1979–80) Edited by: Chudnovsky , D. V. and Chudnovsky , G. V. 299 – 322 . Berlin : Springer. . [Chudnovsky 1982], Lecture Notes in Math. 925
- Chudnovsky , D. V. and Chudnovsky , G. V. 1993 . “Hypergeometric and modular function identities, and new rational approximations to and continued fraction expansions of classical constants and functions”. ” . In A tribute to Emil Grosswald: number theory and related analysis Edited by: Knopp , M. and Sheingorn , M. 117 – 162 . Providence , RI : Amer. Math. Soc. . [Chudnovsky and Chudnovsky 1993], Contemp. Math. 143
- Dieudonne , J. 1968 . Calcul infinitésimal Paris : Hermann. . [Dieudonné 1968]
- Dubitskas , A. K. 1987 . “Approximation of π/√3 by rational fractions” . Vestnik Moskov. Univ. Ser. I Mat. Mekh.no. , 6 : 73 – 76 . [Dubitskas 1987], In Russian
- Dubitskas , A. K. 1993 . “On improving the approximation of π/√3 by rational fractions” . Vestnik Moskov. Univ. Ser. I Mat. Mekh.no. , 6 : 76 – 77 . [Dubitskas 1993], (1994). In Russian; translated in Moscow Univ. Math. Bull. 48:6 (1993), 44–45
- Hata , M. 1990 . “Legendre type polynomials and irrationality measures” . J. Reine Angew. Math. , 407 : 99 – 125 . [Hata 1990]
- Hata , M. 1993 . “Rational approximations to π and some other numbers” . Acta Arith. , 63 ( 4 ) : 335 – 349 . [Hata 1993]
- Heimonen , A. , Matala-Aho , T. and Väänänen , K. 1993 . “On irrationality measures of the values of Gauss hypergeometric function” . Manuscripta Math. , 81 ( 1–2 ) : 183 – 202 . [Heimonen et al. 1993]
- Heimonen , A. , Matala-Aho , T. and Väänänen , K. 1994 . “An application of Jacobi type polynomials to irrationality measures” . Bull. Austral. Math. Soc. , 50 ( 2 ) : 225 – 243 . [Heimonen et al. 1994]
- Rhin , G. and Viola , C. 1996 . “On a permutation group related to ζ(2)” . Acta Arith. , 77 ( 1 ) : 23 – 56 . [Rhin and Viola 1996]
- Rukhadze , E. A. 1987 . “A lower bound for the approximation of In 2 by rational numbers” . Vestnik Moskov. Univ. Ser. I Mat. Mekh.no. , 6 : 25 – 29 . [Rukhadze 1987], In Russian
- Viola , C. 1997 . “Hypergeometric functions and irrationality measures”. ” . In Analytic number theory (Kyoto, 1996) Edited by: Motohashi , Y. 353 – 360 . Cambridge : Cambridge Univ. Press. . [Viola 1997], London Math. Soc. Lecture Note Series 247