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On Explicit Formulas for the Number of Solutions to the Equation (x1+...+xn)2 =ax1...xn in a Finite Field |
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| Authors: | Baulina Yu. N. |
| Affiliation: | (1) Moscow State Pedagogical University, Russia |
| Abstract: | We consider the equation of the title in a finite field of q elements. Assuming certain relations between n and q, we obtain explicit formulas for the number of solutions to this equation. |
| Keywords: | equation in a finite field Gauss sum Jacobi sum |
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