• Corpus ID: 119312833

The second moment of the number of integral points on elliptic curves is bounded

@article{Alpoge2018TheSM,
  title={The second moment of the number of integral points on elliptic curves is bounded},
  author={Levent Alpoge and Wei Ho},
  journal={arXiv: Number Theory},
  year={2018}
}
In this paper, we show that the second moment of the number of integral points on elliptic curves over $\mathbb{Q}$ is bounded. In particular, we prove that, for any $0 < s < \log_2 5 = 2.3219 \ldots$, the $s$-th moment of the number of integral points is bounded for many families of elliptic curves --- e.g., for the family of all integral short Weierstrass curves ordered by naive height, for the family of only minimal such Weierstrass curves, for the family of semistable curves, or for… 
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3 Citations

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Note on a theorem of Professor X

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