Integral and rational representations of forms: Prof. William Duke
Sprache des Titels:
Englisch
Original Kurzfassung:
Criteria are given for the integral representation of a binary quartic form by certain integral ternary quadratic forms and its rational representation by some discriminant forms. These conditions depend on integral or rational solutions of a Weierstrass equation associated to the forms. Usually I can give explicit constructions of solutions when they exist. Some computations are lengthy and were discovered, and are best verified, with the assistance of software.