This paper confirms a conjecture on the minimum variables needed for a nontrivial zero in additive quartic forms, suggesting a deeper understanding of mathematical structures.
In a previous work, Drew Duncan and David B. Leep conjectured that the minimum number of variables required to guarantee a nontrivial zero for every additive quartic form over [Formula: see text] is [Formula: see text]. In this paper, we confirm their conjecture, establishing that [Formula: see text].
No takes yet. Share an insight, caveat, or question.
Geovane Matheus Lemes Andrade (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: