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On Jacobi Sums, Multinomial Coefficients, and p-adic Hypergeometric Functions

✍ Scribed by P.T. Young

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 597 KB
Volume: 52
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1995.1060

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✦ Synopsis

We extend the methods of our previous article to express certain special values of (p)-adic hypergeometric functions in terms of the (p)-adic gamma function and Jacobi sums over general finite fields. These results are obtained via p-adic congruences for Jacobi sums in terms of multinomial coefficients, and allow one to more fully exploit classical hypergeometric identites to obtain (p)-adic unit root formulae. / 1995 Academic Pres. Inc.

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