Möbius disjointness for nilsequences along short intervals

XIAOGUANG HE, ZHIREN WANG

Research output: Contribution to journalArticlepeer-review

Abstract

For a nilmanifold G/γ, a 1-Lipschitz continuous function F and the Möbius sequence μ(n), we prove a bound on the decay of the averaged short interval correlation 1 HN Σ n≤N lΣ h≤H μ(n + h)F(gn+hx)l as H,N →∞. The bound is uniform in g ∈ G, x ∈ G/γ and F.

Original languageEnglish (US)
Pages (from-to)3881-3917
Number of pages37
JournalTransactions of the American Mathematical Society
Volume374
Issue number6
DOIs
StatePublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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