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

E. Krätzel·W. G. Nowak
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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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E. Krätzel, W. G. Nowak. 2006-03-13. Eine effektive Absch"atzung f"ur die Gitter-Diskrepanz von Rotationsellipsoiden. https://arxiv.org/abs/math/0603292

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