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Poissonian correlations of $\alpha n^d$ mod $1$

math.NT · 2026-05-07 · unverdicted · novelty 8.0 · 2 refs

α n^d mod 1 exhibits Poissonian ℓ-point correlations for almost all α when d is large (depending on ℓ) and for a full-dimensional set of badly approximable α via determinant method counting and Fourier transference.

Birational Algebraic Topology

math.AG · 2026-06-22 · unverdicted · novelty 6.0

Birational localization of motivic spaces over perfect fields is equivalent to S^{2,1}-nullification, making π0^{b A^1} a birational invariant for proper schemes.

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