19 citations · 37 across the 3 of their papers we have counts for
3 papers
nlin.SI2017★ 12 cited
Theory of Heat Equations for Sigma Functions
J. C. Eilbeck, J. Gibbons, Y. Ônishi +1
We consider the heat equations satisfied by the sigma function associated with a planar curve, extending and developing earlier pioneering work of Buchstaber and Leykin. These heat…
math.AG2010★ 6 cited
Abelian functions associated with genus three algebraic curves
J. C. Eilbeck, M. England, Y. Onishi
We develop the theory of Abelian functions associated with algebraic curves. The growth in computer power and an advancement of efficient symbolic computation techniques has allowe…
math.AG2006★ 19 cited
Abelian Functions for Trigonal Curves of Genus Three
J. C. Eilbeck, V. Z. Enolski, S. Matsutani +2
We develop the theory of generalized Weierstrass sigma- and \wp-functions defined on a trigonal curve of genus three. In particular we give a list of the associated partial differe…