Theorems · Theorem · number theory
IsCompact.inter_riemannZetaZeros_finite
∀ {S : Set ℂ}, IsCompact S → (S ∩ riemannZetaZeros).FiniteAny compact subset of ℂ contains only finitely many zeros of the Riemann zeta function.
- Defined in
- Mathlib.NumberTheory.LSeries.ZetaZeros
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 322 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Complexstatement and proof · cited by 5,565
- Set.Finitestatement · cited by 1,814
- IsCompactstatement and proof · cited by 1,282
- Set.inter_subset_rightproof · cited by 329
- IsCompact.inter_rightproof · cited by 30
- IsCompact.finiteproof · cited by 5
- riemannZetaZerosstatement · cited by 5
- IsDiscrete.monoproof · cited by 3
- isDiscrete_riemannZetaZerosproof · cited by 2
- isClosed_riemannZetaZerosproof · cited by 2
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