OAI/NumberTheory/TotientAsymptotic/MertensProduct.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

The concrete Mertens upper bound used by the totient asymptotic.

  1. lemma OAI.TotientAsymptotic.primeEulerProduct_rankin line 11
  2. theorem OAI.TotientAsymptotic.mertensProductInput line 42

    Source documentation

    Mertens' full asymptotic is unnecessary here: Chebyshev, finite Euler products and the integral test prove exactly the required upper bound.

    theorem mertensProductInput : MertensProductInput := by
    …

    Mentions: OAI.TotientAsymptotic.MertensProductInput