Hyperelliptic addition law

Details Hyperelliptic addition law Hyperelliptic addition law

2004-09-15

arxiv.org/abs/math-ph/0409033v1

Physics

Mathematical Physics

18 pages, amslatex

Scientific paper

We construct an explicit form of the addition law for hyperelliptic Abelian
vector functions $\wp$ and $\wp'$. The functions $\wp$ and $\wp'$ form a basis
in the field of hyperelliptic Abelian functions, i.e., any function from the
field can be expressed as a rational function of $\wp$ and $\wp'$.

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