The fractional parts of a sum of polynomials |
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| Authors: | Kwok-Kei Chong Ming-Chit Liu |
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| 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. |
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| Abstract: | LetX=(x
1,...,x
s
) be a vector ofs real components and
, 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  f(X) where t means the distance fromt to the nearest integer. |
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| Keywords: | |
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