On The Uniformisation of Algebraic Curves of Genus 3

Author:

Mursi M.

Abstract

An algebraic equationdetermines, in general, s as a many valued function of z. If s and z can be expressed as one valued functions of a third variable t, then t is called the uniformising variable. As Poincaré showed, s and z are automorphic functions of t.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference4 articles.

1. This follows from the uniqueness of the group of the diflerential equation and alsofrom the symmetry of the positions of the contour in the plane.

2. I. On the connexion of algebraic functions with automorphic functions

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