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Circularity in finite fields and solutions of the equations \(x^m + y^m - z^m = 1\). (English) Zbl 07905714

Summary: An explicit formula for the number of solutions of the equation in the title is given when a certain condition, depending only on the exponent and the characteristic of the field, holds. This formula improves the one given by the authors in an earlier paper.

MSC:

11D41 Higher degree equations; Fermat’s equation
05B05 Combinatorial aspects of block designs

References:

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