OAI/NumberTheory/TwoPoint/Halasz/HalaszLongShortEnergy.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Once the long variables agree modulo a prime power exceeding their range, the remaining energy is the ordinary complete-system moment.

  1. lemma OAI.TwoPointCorrelations.halasz_nat_power_frequency_eq line 12
  2. lemma OAI.TwoPointCorrelations.halasz_nat_power_energy line 26
  3. lemma OAI.TwoPointCorrelations.halasz_long_residues_injective line 36
  4. theorem OAI.TwoPointCorrelations.halasz_long_short_refined_energy line 48
  5. theorem OAI.TwoPointCorrelations.halasz_nonsingular_long_short_energy line 85