AI 中文总结
本文针对经典高斯圆问题,通过大规模数值计算,为约一个世纪前哈代提出的相关猜想提供数值证据支持。
AI 中文摘要
经典的未解决高斯圆问题涉及估计当半径趋于无穷时,圆内格点数量与圆面积之间的误差。约一个世纪前,哈代针对该问题提出了一个猜想。本文试图通过大规模数值计算,为哈代猜想提供数值证据支持。
英文摘要
The classical unsolved Gauss circle problem concerns estimating the error between the number of lattice points inside a circle and the area of the circle as its radius tends to infinity. About a century ago, Hardy proposed a conjecture concerning this problem. In this paper, we attempt to provide numerical evidence in support of the Hardy conjecture through large-scale numerical computations.
Comments14 pages, 15 figures, 6 FORTRAN programs