Theorems · Definition · number theory
HurwitzZeta.evenKernel
UnitAddCircle → ℝ → ℝ
Even Hurwitz zeta kernel (function whose Mellin transform will be the even part of the
completed Hurwitz zeta function). See evenKernel_def for the defining formula, and
hasSum_int_evenKernel for an expression as a sum over ℤ.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 176 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 by15
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzEvenFEPairproof · cited by 21
- HurwitzZeta.evenKernel_defstatement · cited by 6
- HurwitzZeta.hurwitzEvenFEPair_negproof · cited by 4
- HurwitzZeta.hurwitzEvenFEPair_zero_symmproof · cited by 2
- HurwitzZeta.differentiableAt_completedHurwitzZetaEvenproof · cited by 2
- HurwitzZeta.hasSum_int_evenKernelstatement · cited by 2
- HurwitzZeta.evenKernel_eq_cosKernel_of_zerostatement · cited by 1
- HurwitzZeta.evenKernel_negstatement · cited by 1
- HurwitzZeta.evenKernel_undefstatement · cited by 1
- HurwitzZeta.hasSum_int_completedHurwitzZetaEvenproof · cited by 1
- HurwitzZeta.hasSum_int_evenKernel₀statement and proof · cited by 1
- HurwitzZeta.continuousOn_evenKernelstatement · cited by 0