旋转体的格点差：用Soundararajan方法改进下界
The lattice point discrepancy of a body of revolution: Improving the lower bound by Soundararajan's method
摘要：
对于三维欧几里得空间中的凸体B，它在绕一个坐标轴旋转下不变，并且具有有界非零曲率的光滑边界，从下面估计B的线性放大副本的格点差异（整数点数减去体积）。在K. Soundararajan，一个欧米茄界得到的，改善了所有早期的结果，这种。
英文摘要：
For a convex body B in three-dimensional Euclidean space, which is invariant under rotations around one coordinate axis and has a smooth boundary of bounded nonzero curvature, the lattice point discrepancy (number of integer points minus volume) of a linearly enlarged copy of B is estimated from below. On the basis of a recent method of K. Soundararajan, an Omega-bound is obtained that improves upon all earlier results of this kind.
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。
