On special values of generalized p-adic hypergeometric functions

• Autorzy: Kaori Ota
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 67
• Numer: 2
• Strony: 141-163

Daty

wydano

1994

otrzymano

1993-04-30

poprawiono

1993-12-31

Twórcy

autor

Kaori Ota

• Department of Mathematics, Tsuda College, Kodaira, Tokyo 187, Japan

Bibliografia

• [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.