OAI/NumberTheory/Ostmann/Quadratic/QuadraticCoprimePoisson.lean

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4 declarations, 0 contain sorry, 0 declared as axioms

Poisson summation with an exact coprimality condition

The divisor terms are retained individually. They are the terms truncated in Heath-Brown (1995), Lemma 13, for both small-kernel and dual-kernel sums.

  1. theorem OAI.Ostmann.quadratic_scaled_poisson line 15
  2. theorem OAI.Ostmann.quadratic_tsum_multiples line 21
  3. theorem OAI.Ostmann.quadratic_scaled_summable line 34
  4. theorem OAI.Ostmann.quadratic_coprime_poisson line 39