In this paper, following L. Carlitz we consider some special equations of variables over the finite field of elements. We obtain explicit formulas for the number of solutions of these equations, under a certain restriction on and .
Dans ce papier, suivant L. Carlitz, nous considérons des équations particulières à variables sur le corps fini à éléments. Nous obtenons des formules explicites pour le nombre de solutions de ces équations, sous une certaine condition sur et .
@article{JTNB_2005__17_1_45_0, author = {Ioulia Baoulina}, title = {On some equations over finite fields}, journal = {Journal de th\'eorie des nombres de Bordeaux}, pages = {45--50}, publisher = {Universit\'e Bordeaux 1}, volume = {17}, number = {1}, year = {2005}, doi = {10.5802/jtnb.475}, mrnumber = {2152209}, zbl = {1119.11033}, language = {en}, url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.475/} }
TY - JOUR AU - Ioulia Baoulina TI - On some equations over finite fields JO - Journal de théorie des nombres de Bordeaux PY - 2005 SP - 45 EP - 50 VL - 17 IS - 1 PB - Université Bordeaux 1 UR - https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.475/ DO - 10.5802/jtnb.475 LA - en ID - JTNB_2005__17_1_45_0 ER -
Ioulia Baoulina. On some equations over finite fields. Journal de théorie des nombres de Bordeaux, Volume 17 (2005) no. 1, pp. 45-50. doi : 10.5802/jtnb.475. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.475/
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[4] L. Carlitz, Certain special equations in a finite field. Monatsh. Math. 58 (1954), 5–12. | MR | Zbl
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