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math.AG2012★ 1 cited
Some New Addition Formulae for Weierstrass Elliptic Functions
J. Chris Eilbeck, Matthew England, Yoshihiro Ônishi
We present new addition formulae for the Weierstrass functions associated with a general elliptic curve. We prove the structure of the formulae in n-variables and give the explicit…
math.AG2008★ 19 cited
Abelian functions associated with a cyclic tetragonal curve of genus six
M. England, J. C. Eilbeck
We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve .…