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Hankel Determinant Solution for Elliptic Sequence

Exactly Solvable and Integrable Systems 2014-12-08 v2 Cryptography and Security Mathematical Physics math.MP

Abstract

We show that the Hankel determinants of a generalized Catalan sequence satisfy the equations of the elliptic sequence. As a consequence, the coordinates of the multiples of an arbitrary point on the elliptic curve are expressed by the Hankel determinants.

Cite

@article{arxiv.1411.6972,
  title  = {Hankel Determinant Solution for Elliptic Sequence},
  author = {Fumitaka Yura},
  journal= {arXiv preprint arXiv:1411.6972},
  year   = {2014}
}
R2 v1 2026-06-22T07:12:03.199Z