Polynomial Equations over Fields of Positive Characteristics

Student: Makarychev Sergey

Educational Programme: Mathematics (Bachelor)

Year of Graduation: 2017

In this paper we consider various polynomial equations in fields of positive characteristic and estimate the number of their solutions on subgroups. We obtain an estimate for the polynomial equation $ P (x, y) = 0 $, as well as a polynomial map. We apply the results obtained to evaluation additive and polynomial energies.

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