Hypergeometric functions over finite fields

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Abstract

In this paper the analogy between the character sum expansion of a complex-valued function over GF(q) and the power series expansion of an analytic function is exploited in order to develop an analogue for hypergeometric series over finite fields. It is shown that such functions satisfy many summation and transformation formulas analogous to their classical counterparts.

Original languageEnglish (US)
Pages (from-to)77-101
Number of pages25
JournalTransactions of the American Mathematical Society
Volume301
Issue number1
DOIs
StatePublished - May 1987

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