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ArticleOriginal scientific text

Title

Irrationality measures of the values of hypergeometric functions

Authors 1

Affiliations

  1. Institute of Mathematics, Yoshida College, Kyoto University, Kyoto 606, Japan

Bibliography

  1. K. Alladi and M. L. Robinson, Legendre polynomials and irrationality, J. Reine Angew. Math. 318 (1980), 137-155.
  2. A. Erdélyi et al., Higher Transcendental Functions, Vol. 1, New York 1953.
  3. M. Hata, On the linear independence of the values of polylogarithmic functions, J. Math. Pures Appl. 69 (1990), 133-173.
  4. M. Hata, Legendre type polynomials and irrationality measures, J. Reine Angew. Math. 407 (1990), 99-125.
  5. M. Huttner, Irrationalité de certaines intégrales hypergéométriques, J. Number Theory 26 (1987), 166-178.
  6. E. Reyssat, Mesures de transcendance pour les logarithmes de nombres rationnels, in: Progr. Math. 31, Birkhäuser, 1983, 235-245.
  7. G. Rhin, Approximants de Padé et mesures effectives d'irrationalité, in: Progr. Math. 71, Birkhäuser, 1987, 155-164.
Acta Arithmetica
1991-1992/60/4
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Pages:
335-347
Main language of publication
English
Received
1990-09-10
Accepted
1991-05-13
Published
1992
Exact and natural sciences