The Problem of Differentiation of Hyperelliptic Functions

Abstract

In this work we describe a construction that leads to an explicit solution of the problem of differentiation of hyperelliptic functions. A classical genus $g=1$ example of such a solution is a result of F.G.Frobenius and L.Stickelberger. Our method follows the works that led to constructions of explicit solutions of the problem for genus $g=2$ and $g=3$.