OAI/NumberTheory/Ostmann/Complete.lean

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2 declarations, 0 contain sorry, 0 declared as axioms

Ostmann's inverse Goldbach theorems

The quadratic large sieve and the exact character-zero density estimate give both the two-infinite-summands contradiction and asymptotic indecomposability.

  1. theorem OAI.Ostmann.twoInfiniteSummandsImpossible line 16

    Source documentation

    Theorem 2.3: two infinite nonnegative summands cannot give the primes outside a finite initial interval.

    Distinct definitions of this name: ComparatorChallenges/OstmannComplete.lean:33 (same statement text; different proof or body). Qualify references as OAI.Ostmann.twoInfiniteSummandsImpossible@path.

    theorem twoInfiniteSummandsImpossible : TwoInfiniteSummandsImpossible :=
    …

    Mentions: OAI.Ostmann.TwoInfiniteSummandsImpossible

  2. theorem OAI.Ostmann.inverseGoldbach line 21

    Source documentation

    Theorem 1.1: every sum of two nontrivial sets of nonnegative integers has infinite symmetric difference with the primes.

    Distinct definitions of this name: ComparatorChallenges/OstmannComplete.lean:30 (same statement text; different proof or body). Qualify references as OAI.Ostmann.inverseGoldbach@path.

    theorem inverseGoldbach : InverseGoldbach :=
    …