We prove finite field analogues of integral representations of Appell-Lauricella hypergeometric functions in many variables. We consider certain hypersurfaces having a group action and compute the numbers of rational points associated with characters of the group, which will be expressed in terms of Appell-Lauricella functions over finite fields.
Hokkaido Math. J.
53(2):
307-347
(June 2024).
DOI: 10.14492/hokmj/2022-668
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