RUS  ENG
Full version
JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2016 Volume 28, Issue 2, Pages 27–43 (Mi dm1366)

This article is cited in 11 papers

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

O. V. Kamlovskii

LLC "Certification Research Center", Moscow

Abstract: 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.

UDC: 512.547+512.552

Received: 07.08.2015

DOI: 10.4213/dm1366


 English version:
Discrete Mathematics and Applications, 2017, 27:4, 199–211

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025