19 citations · 37 across the 3 of their papers we have counts for
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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…