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MR1234628 (95f:11023) 11D79 (11T30)
Ke, Wen Fong; Kiechle, Hubert On the solutions of the equation $x\sp m+y\sp m-z\sp m=1$ in a finite field. Proc. Amer. Math. Soc. 123 (1995), no. 5, 1331–1339.
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