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Title

On special values of generalized p-adic hypergeometric functions

Authors 1

Affiliations

  1. Department of Mathematics, Tsuda College, Kodaira, Tokyo 187, Japan

Bibliography

  1. B. Dwork, p-adic cycles, Inst. Hautes Études Sci. Publ. Math. 37 (1969), 27-115.
  2. B. Dwork, On p-adic differential equations IV, Ann. Sci. École Norm. Sup. 6 (1973), 295-315.
  3. N. Koblitz, The hypergeometric function with p-adic parameters, in: Proceedings, Queens Number Theory Conference, 1979, Queen's University, 1980, 319-328.
  4. N. Koblitz, q-extension of the p-adic Gamma function, Trans. Amer. Math. Soc. 260 (1980), 449-457.
  5. N. Koblitz, q-extension of the p-adic Gamma function II, Trans. Amer. Math. Soc. 273 (1982), 111-129.
  6. S. Lang, Cyclotomic Fields II, Graduate Texts in Math. 69, Springer, 1980.
  7. L. J. Slater, Generalized Hypergeometric Functions, Cambridge Univ. Press, London, 1966.
  8. J. Riordan, Combinatorial Identities, Wiley, New York, 1968.
  9. P. T. Young, Apéry numbers, Jacobi sums, and special values of generalized p-adic hypergeometric functions, J. Number Theory 41 (1992), 231-255.
  10. P. T. Young, On Jacobi sums, multinomial coefficients, and p-adic hypergeometric functions, J. Number Theory, to appear.
Acta Arithmetica
1994/67/2
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Pages:
141-163
Main language of publication
English
Received
1993-04-30
Accepted
1993-12-31
Published
1994
Exact and natural sciences