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The fractional parts of a sum of polynomials
Authors:Kwok-Kei Chong  Ming-Chit Liu
Institution:(1) Department of Mathematics and Science, Hong Kong Polytechnic, Hong Kong, B. C. C.;(2) Department of Mathematics, University of Hong Kong, Hong Kong, B. C. C.
Abstract:LetX=(x 1,...,x s ) be a vector ofs real components and 
$$f(X) = \sum\limits_{j = 1}^8 {Pj(xj)} $$
, whereP j (x j ) are polynomials of exact degree k with real coefficients and without constant terms. The authors extend a result of Davenport and obtain an approximation on Verbarf(X)Verbar where VerbartVerbar means the distance fromt to the nearest integer.
Keywords:
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