• Corpus ID: 244896160

# The average number of integral points on the congruent number curves

@inproceedings{Chan2021TheAN,
title={The average number of integral points on the congruent number curves},
author={Stephanie Chan},
year={2021}
}
We show that the total number of non-torsion integral points on the curves ED : y = x − Dx, where D ranges over positive squarefree integers less than N , is ≪ N(logN).
1 Citations
Abstract. Fix a non-square integer k 6= 0. We show that the the number of curves EB : y 2 = x + kB containing an integral point, where B ranges over positive integers less than N , is bounded by ≪k

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