... We study an algebraic equation P (x, y ) = 0 over a field Fp , where p is a prime. ... p We study the upper bound of the number solutions of the polynomial equation, such that x g1 G, y g2 G. The estimate #{(x, y ) | ... This estimate was obtained by a different method in the paper [1]. ... 3] (With S. Makarychev) The number of solutions of polynomial equation over the field Fp and new bounds of additive energy // Proceedings of the Conference Diferential Equations and Related Topics, 2015, p. 24-26...