Theorems · Theorem · number theory
hasSum_zeta_two
- #14 of the 100 theorems: Euler’s Summation of 1 + (1/2)^2 + (1/3)^2 + ….
- 1000+ list: Basel problem
HasSum (fun n => 1 / ↑n ^ 2) (Real.pi ^ 2 / 6)
- Defined in
- Mathlib.NumberTheory.ZetaValues
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 280 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpaceproof · cited by 24,529
- AddCommMonoidproof · cited by 12,281
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Real.pistatement and proof · cited by 1,774
- pow_oneproof · cited by 894
- one_ne_zeroproof · cited by 885
- one_divproof · cited by 624
- Nat.factorialproof · cited by 616
Cited by1
Results whose statement or proof uses this declaration.
- riemannZeta_twoproof · cited by 2