Theorems · Definition · number theory
HurwitzZeta.cosKernel
UnitAddCircle → ℝ → ℝ
Cosine Hurwitz zeta kernel. See cosKernel_def for the defining formula, and
hasSum_int_cosKernel for expression as a sum.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- UnitAddCirclestatement and proof · cited by 157
- Function.Periodic.liftproof · cited by 7
Cited by16
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzEvenFEPairproof · cited by 21
- HurwitzZeta.cosKernel_defstatement · cited by 6
- HurwitzZeta.hurwitzEvenFEPair_negproof · cited by 4
- HurwitzZeta.hasSum_int_completedCosZetaproof · cited by 2
- HurwitzZeta.hasSum_int_cosKernelstatement · cited by 2
- HurwitzZeta.hurwitzEvenFEPair_zero_symmproof · cited by 2
- HurwitzZeta.differentiableAt_completedHurwitzZetaEvenproof · cited by 2
- HurwitzZeta.evenKernel_eq_cosKernel_of_zerostatement · cited by 1
- HurwitzZeta.hasSum_int_cosKernel₀statement and proof · cited by 1
- HurwitzZeta.hasSum_nat_cosKernel₀statement and proof · cited by 1
- HurwitzZeta.cosKernel_negstatement · cited by 1
- HurwitzZeta.cosKernel_undefstatement · cited by 1