IN the preface to his "Elliptic Functions", written in 1892, Prof. A. G. Greenhill complained that, although the subject was then nearly seventy years old, it had not made its way into the ordinary ...
It is known that the Jacobian J of the Klein curve is isogenous to E3 for a certain elliptic curve E. We compute explicit equations for E and prove that J is in fact isomorphic to E3. We also identify ...
We first give a new proof and also a new formulation for the Abhyankar-Gurjar inversion formula for formal maps of affine spaces. We then use the reformulated Abhyankar-Gurjar formula to give a more ...