E. I. Kovalevskaya, O. V. Rykova, “The development of the essential and inessential domains method for the calculation of vectors with real algebraic coordinates near smooth surfaces”, Chebyshevskii Sb., 2013, Volume 14, Issue 4,Pages <nobr>119

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The development of the essential and inessential domains method for the calculation of vectors with real algebraic coordinates near smooth surfaces

E. I. Kovalevskaya, O. V. Rykova

Belarusian State Agrarian Technical University, Minsk

Abstract: The lower estimate for number of vectors with real algebraic coordinates near smooth surfaces is obtained. We use a new form of the essential and inessential domains method.

Keywords: metric theory of Diophantine approximation, integer polynomials, distribution of the real algebraic numbers.

UDC: 511.36

Received: 14.09.2013