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Seminar on analytic theory of differential equations
March 22, 2017 14:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)
 


On polynomial equations in a multiplicative subgroup of a field of positive characteristic

I. V. Vyugin
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MP4 2,173.7 Mb
MP4 552.4 Mb

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I. V. Vyugin


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Abstract: In the talk I shall consider linear and polynomial equations over fields of positive characteristic. For example over the field of residuals modulo a prime $p$. I shall investigate upper estimates for the number of solutions of these equations such that they belong to a subgroup of the multiplicative group of the field. Then we shall give applications of these estimates to some well-know problem of the additive number theory.

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