Hankel Determinant Solution for Elliptic Sequence

2014/11/25 by Yura, Fumitaka · 1 citation
#Cryptography and Security (cs.CR) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Computer and information sciences #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1411.6972

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.

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• Elliptic Curves, Riordan arrays and Lattice Paths

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