OAI/NumberTheory/TwoPoint/ShortIntervals/MRTKernelTail.lean

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6 declarations, 0 contain sorry, 0 declared as axioms

Finite-height mean-square estimates control the entire short-window kernel. The frequencies beyond the polynomial length cost only (T/N)^2.

  1. lemma OAI.TwoPointCorrelations.mrt_short_kernel_continuous line 14
  2. lemma OAI.TwoPointCorrelations.mrt_bounded_square_tail_integrable line 18
  3. lemma OAI.TwoPointCorrelations.mrt_bounded_kernel_integrable line 35
  4. lemma OAI.TwoPointCorrelations.mrt_integral_symmetric_halves line 49
  5. theorem OAI.TwoPointCorrelations.mrt_short_kernel_finite_height line 57
  6. theorem OAI.TwoPointCorrelations.mrt_dyadic_kernel_finite_height line 151