Integral and rational representations of forms

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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Publication Details

Journal
Journal of Experimental Mathematics
Published
2025-02-28
DOI
https://doi.org/10.56994/jxm.001.001.002
Primary Topic
Mathematics, Computing, and Information Processing
Type
article
Field-Weighted Citation Impact
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article

Integral and rational representations of forms

William Duke
Journal of Experimental Mathematics
Mathematics, Computing, and Information Processing
article

Integral and rational representations of forms

William Duke
article en

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.

Journal of Experimental MathematicsVol. 1(1)
UCLA Health (US)
Openalex Percentile: Top 95%
Mathematics, Computing, and Information Processing
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