一个有效的“atzung“ur die Gitter-repepanz von Rotationsellipsoiden
Eine effektive Absch"atzung f"ur die Gitter-Diskrepanz von Rotationsellipsoiden
摘要:
旋转椭球格点差的一个有效估计。本文给出了椭球Q < x的格点差(=整数点数减体积)的显式界,其中Q是一个关于绕一个坐标轴旋转的对角化的正定三元二次型.在结果中,首项中x的指数等于11/16。
英文摘要:
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.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。