# [The mean analytic rank of quadratic twists of elliptic curves](paper.pdf)

**Author:** OpenAI

**Date:** September 23, 2026

## Citation

```bibtex
@misc{OAI:The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-September-23-2026,
  author = {{OpenAI}},
  title = {{The mean analytic rank of quadratic twists of elliptic curves}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-September-23-2026/paper.pdf}{OAI:The-mean-analytic-rank-of-quadratic-twists-of-elliptic-curves-September-23-2026}},
  year = {2026}
}
```