Eine effektive Absch"atzung f"ur die Gitter-Diskrepanz von Rotationsellipsoiden
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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