2 papers
astro-ph2004
Euclidean Algorithm for a Gravitational Lens in a Polynomial Equation
Hideki Asada, Taketoshi Kasai, Masumi Kasai
The Euclidean algorithm in algebra is applied to a class of gravitational lenses for which the lens equation consists of any set of coupled polynomial equations in the image positi…
astro-ph2002
Algebraic Properties of the Real Quintic Equation for a Binary Gravitational Lens
Hideki Asada, Taketoshi Kasai, Masumi Kasai
It has been recently shown that the lens equation for a binary gravitational lens, which is apparently a coupled system, can be reduced to a real fifth-order (quintic) algebraic eq…