Abstract

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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