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Finite hypergeometric functions. (English) Zbl 1397.11162

Summary: We show that values of finite hypergeometric functions defined over \(\mathbb{Q}\) correspond to point counting results on explicit varieties defined over finite fields.

MSC:

11T24 Other character sums and Gauss sums
11G25 Varieties over finite and local fields
33C20 Generalized hypergeometric series, \({}_pF_q\)
14G05 Rational points
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