Recursion Relation of Hyperelliptic Psi-Functions of Genus Two
Mathematical Physics
2007-05-23 v3 Algebraic Geometry
math.MP
Number Theory
Exactly Solvable and Integrable Systems
Abstract
A recursion relation of hyperelliptic psi functions of genus two, which was derived by D.G. Cantor (J. reine angew. Math. 447 (1994) 91-145), is studied. As Cantor's approach is algebraic, another derivation is presented as a natural extension of the analytic derivation of the recursion relation of the elliptic psi function.
Cite
@article{arxiv.math-ph/0105031,
title = {Recursion Relation of Hyperelliptic Psi-Functions of Genus Two},
author = {Shigeki Matsutani},
journal= {arXiv preprint arXiv:math-ph/0105031},
year = {2007}
}
Comments
AMS-TeX, 18 pages