Distribution of integral lattice points in an ellipsoid with a diophantine center
classification
🧮 math.NT
math.CA
keywords
ellipsoidrationalinsidelatticepointsasymptoticcenterdeviations
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We evaluate the mean square limit of exponential sums related with a rational ellipsoid, extending a work of Marklof. Moreover, as a result of it, we study the asymptotic values of the normalized deviations of the number of lattice points inside a rational ellipsoid and inside a rational thin ellipsoidal shell.
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