대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권1호
  • /
  • Pages.11-16
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

On p-adic analogue of hypergeometric series

  • 발행 : 1997.01.01
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초록

In this paper we will study a p-adic analogue of Kummer's theorem[6],[7], which gives the value at x = -1 of a well-piosed $_2F_1$ hypergeometric series.

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참고문헌

  1. Pacific J. Math. v.94 Hypergeometric series with a p-adic variable J. Diamond
  2. Inst. Hautes Etudes Sci.Publ. Math. v.37 p-adic cycles B. Dwork
  3. Number Theory, Geometry and related Topic v.3 A note on p-adic analogue of hypergeometric functions H. S. Kim;T. Kim
  4. Proccedings, Queens Number Theory Conference the hypergeometric function with p-adic parameters N. Koblitz
  5. J. Fac. Sci. Univ. v.22 A p-adic analogue of the T - function Y. Morita
  6. Special Functions E. D. Rainville
  7. Generalized Hypergeometric Functions L. J. Slater
  8. J. Number Theory v.41 Aperey numbers, numbers, Jacobi sums, and special values of generalized p-adic hypergeometric functions P. T. Young
  9. J. Number Theory v.52 On Jacobi sums, Multinomial Coefficients, and p-adic Hypergeometric Functions P. T. YOung