Numerical experiments on the Hardy conjecture for the Gauss circle problem

@misc{yamaguchi2026numerical,
  title = {{Numerical experiments on the Hardy conjecture for the Gauss circle problem}},
  author = {Satoshi Yamaguchi and Shoichi Fujima and Shigehiko Kuratsubo and Eiichi Nakai and Tsuyoshi Yoneda},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.04725},
  eprint = {2609.04725},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.04725},
}

TY  - UNPB
TI  - Numerical experiments on the Hardy conjecture for the Gauss circle problem
AU  - Satoshi Yamaguchi
AU  - Shoichi Fujima
AU  - Shigehiko Kuratsubo
AU  - Eiichi Nakai
AU  - Tsuyoshi Yoneda
PY  - 2026
DA  - 2026/09/04
PB  - arXiv
DO  - 10.48550/arxiv.2609.04725
UR  - https://arxiv.org/abs/2609.04725
AB  - 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.
ER  -