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- W2000997925 abstract "In the paper, upper estimates for sums of the form $$ sumlimits_{{left( {{n_1},{n_2}} right)}} {sumlimits_{{in varOmega }} {psi left( {fleft( {{n_1},{n_2}} right)} right),} } $$ where $ psi (x)=x-left[ x right]-frac{1}{2},,,fleft( {x,y} right) $ is a polynomial, (n 1, n 2) ∈ ℤ2, and Ω is a region in ℝ2, are obtained. One of the upper estimates is of interest, particularly, in connection with the lattice point problem considered in Theorem 2. Bibliography: 10 titles." @default.
- W2000997925 created "2016-06-24" @default.
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- W2000997925 date "2013-07-24" @default.
- W2000997925 modified "2023-09-26" @default.
- W2000997925 title "On the distribution of fractional parts of polynomials in two variables" @default.
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- W2000997925 doi "https://doi.org/10.1007/s10958-013-1441-3" @default.
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