What question did this study set out to answer?

To explore the mathematical representation of integers using a specific ternary quadratic form.

April 3, 2026INTERNATIONAL JOURNAL OF RESEARCH AND ANALYTICAL REVIEWS0 citationsOpen Access

Mathematical Representation Of The Integer Set Z Via The Ternary Quadratic Form f (a b c) = a square+ b square - c square

HCH B Dibyakshi ChoudhuryIndian Institute of Information Technology Guwahati

Key Points

To explore the mathematical representation of integers using a specific ternary quadratic form.
Analysis of the ternary quadratic form f(a, b, c) = a^2 + b^2 - c^2
Evaluation of integer solutions from the form
Application of mathematical theories to interpret results
Establishment of conditions for integer representation within the form
Identification of specific integer sets generated by the quadratic equation
Insights into the relationship between quadratic forms and integer sets

Abstract

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