We give bounds for the mean square deviation with respect to arbitrary probability measures of the number of integer points in translated or dilated convex bodies. The proofs are based on Fourier analytic methods.
Colzani, L., Rocco, I., Travaglini, G. (2005). Quadratic estimates for the number of integer points in convex bodies. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 54(2), 241-252 [10.1007/BF02874638].
Quadratic estimates for the number of integer points in convex bodies
COLZANI, LEONARDO;TRAVAGLINI, GIANCARLO
2005
Abstract
We give bounds for the mean square deviation with respect to arbitrary probability measures of the number of integer points in translated or dilated convex bodies. The proofs are based on Fourier analytic methods.
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