Integral and rational representations of forms

William Duke

Integral and rational representations of forms

Authors

William Duke UCLA Mathematics Department https://orcid.org/0000-0002-2598-8719

Keywords:

Diophantine Equations, Binary Quartic Forms, Discriminants, Local to Global

Abstract

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.

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Published

02/28/2025

How to Cite

Duke, W. (2025). Integral and rational representations of forms. Journal of Experimental Mathematics, 1(1), 23–35. Retrieved from https://jexpmath.org/index.php/jem/article/view/Vol-1Issue-1Paper-2