Hypergeometric functions over finite fields satisfy a classical-style symmetry, proven by constructing isomorphisms between algebraic varieties whose rational point counts equal the functions.
Otsubo, Hypergeometric functions over finite fields, Ramanujan J.,63(2024), 55–104
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Symmetry of hypergeometric functions over finite fields and geometric interpretation
Hypergeometric functions over finite fields satisfy a classical-style symmetry, proven by constructing isomorphisms between algebraic varieties whose rational point counts equal the functions.