Cubic and quartic congruences modulo a prime |
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| Authors: | Zhi-Hong Sun |
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| Affiliation: | Department of Mathematics, Huaiyin Teachers College, Huaian, Jiangsu 223001, People's Republic of China |
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| Abstract: | Let p>3 be a prime, and  denote the number of solutions of the congruence  . In this paper, using the third-order recurring sequences we determine the values of Np(x3+a1x2+a2x+a3) and Np(x4+ax2+bx+c), and construct the solutions of the corresponding congruences, where a1,a2,a3,a,b,c are integers. |
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| Keywords: | Primary 11A07 Secondary 11B39, 11B50, 11A15 |
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