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arXiv · 2609.04725

Numerical experiments on the Hardy conjecture for the Gauss circle problem

Satoshi Yamaguchi·Shoichi Fujima·Shigehiko Kuratsubo·Eiichi Nakai·Tsuyoshi Yoneda
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Abstract

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.

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Satoshi Yamaguchi, Shoichi Fujima, Shigehiko Kuratsubo, Eiichi Nakai, Tsuyoshi Yoneda. 2026-09-04. Numerical experiments on the Hardy conjecture for the Gauss circle problem. https://arxiv.org/abs/2609.04725

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