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math.CA2026
The critical mixed-arithmetic four-point HRT theorem
Vignon Oussa
Although the Heil--Ramanathan--Topiwala conjecture is false in full generality, its failure makes the classification of positive geometric and arithmetic regimes more urgent. We se…
math.CA2026
A minimal HRT counterexample at the sharp Gelfand--Shilov threshold
Vignon Oussa
In a remarkable breakthrough, Faulhuber, Petersen, van Velthoven, and Voigtlaender disproved the Heil--Ramanathan--Topiwala conjecture by constructing twelve linearly dependent tim…
math.CA2026
An intrinsically subcritical four-point counterexample
Vignon Oussa
Building on the vector-Zak and cohomological framework developed by Faulhuber, Petersen, van Velthoven, and Voigtlaender in their twelve-point counterexample, we give a computer-as…