Theorems · Theorem · number theory
hasSum_zeta_four
HasSum (fun n => 1 / ↑n ^ 4) (Real.pi ^ 4 / 90)
- 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.
Cites20
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
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Real.pistatement and proof · cited by 1,774
- Nat.factorialproof · cited by 616
- SummationFilterproof · cited by 607
- HasSumstatement and proof · cited by 518
- two_ne_zeroproof · cited by 251
Cited by1
Results whose statement or proof uses this declaration.
- riemannZeta_fourproof · cited by 0