Eine effektive Absch"atzung f"ur die Gitter-Diskrepanz von Rotationsellipsoiden
E. Krätzel, W. G. Nowak
Abstract
An effective estimate for the lattice point discrepancy of ellipsoids of rotation. This paper provides an explicit bound, with numerical constants, for the lattice point discrepancy (= number of integer points minus volume) of an ellipsoid Q < x, where Q is a positive definite ternary quadratic form, diagonalized and invariant with respect to rotations around one coordinate axis. In the result the exponent of x in the leading term is equal to 11/16.
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