Geodesic
Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method
Diskretnaya Matematika, Tome 28 (2016) no. 2, pp. 27-43

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A general approach is proposed for obtaining estimates of the number of solutions of systems of nonlinear equations. Final estimates are established in the case when the arguments of functions in the system are the signs of linear recurrent sequences over Galois rings.
Keywords: linear recurrent sequences, system of nonlinear equations, Galois rings, spectral method, cross-correlation coefficients. 
@article{DM_2016_28_2_a2,
     author = {O. V. Kamlovskii},
     title = {Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method},
     journal = {Diskretnaya Matematika},
     pages = {27--43},
     publisher = {mathdoc},
     volume = {28},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2016_28_2_a2/}
}
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O. V. Kamlovskii. Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method. Diskretnaya Matematika, Tome 28 (2016) no. 2, pp. 27-43. http://geodesic.mathdoc.fr/item/DM_2016_28_2_a2/