Estimating the number of solutions of systems of nonlinear equations with linear recurring arguments by the spectral method

O. V. Kamlovskii

Diskretnaya Matematika, Tome 28 (2016) no. 2, pp. 27-43

Résumé

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.

Détail

Keywords: linear recurrent sequences, system of nonlinear equations, Galois rings, spectral method, cross-correlation coefficients.

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