Poissonian correlation conjecture for fractional parts of αnθ\alpha n^\thetaαnθ
Let m≥2m\ge 2m≥2, let α>0\alpha>0α>0, and let 0<θ<1/m0<\theta<1/m0<θ<1/m. Consider the sequence of fractional parts (αnθ mod 1)n>0(\alpha n^\theta\bmod 1)_{n>0}(αnθmod1)n>0. Poissonian correlation conjecture. For every such…
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