No-Go Theorems for Poisson Certificates of Gaussian Mass Maximality
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Statement
For , the natural scalar Poisson-summation certificates cannot prove the Regev-Stephens-Davidowitz Gaussian mass conjecture: any such certificate saturates, so the whole approach is blocked.
Context
a barrier result about one proof strategy, not the conjecture itself
Rules out the most natural certificate approach to the reverse Minkowski conjecture, which is what makes it worth knowing.
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a barrier result about one proof strategy, not the conjecture itself
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