Beukers, Frits; Cohen, Henri; Mellit, Anton Finite hypergeometric functions. (English) Zbl 1397.11162 Pure Appl. Math. Q. 11, No. 4, 559-589 (2015). 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. Cited in 21 Documents 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 PDFBibTeX XMLCite \textit{F. Beukers} et al., Pure Appl. Math. Q. 11, No. 4, 559--589 (2015; Zbl 1397.11162) Full Text: DOI arXiv