Geodesic
The development of the essential and inessential domains method for the calculation of vectors with real algebraic coordinates near smooth surfaces
Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 119-126

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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. 
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     author = {E. I. Kovalevskaya and O. V. Rykova},
     title = {The development of the essential and inessential domains method for the calculation of vectors with real algebraic coordinates near smooth surfaces},
     journal = {\v{C}eby\v{s}evskij sbornik},
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     publisher = {mathdoc},
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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. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 119-126. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a7/