## 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

### Keywords:

finite hypergeometric; Gauss sum; point count; Frobenius trace
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