Orthogonal matrices obtained from hypergeometric series over finite fields and elliptic curves over finite fields
Masao Koike · Hiroshima Mathematical Journal · 1995
We show that the semi-cyclic matrices attached to some hypergeometric series over finite fields are orthogonal.This proves Namba's conjecture.We also show that for certain family of elliptic curves, their trace of the Frobenius map are equal to special values of hypergeometric series over finite fields.