Theorems · Definition · special functions
PeriodPair.sumInvPow
PeriodPair → ℂ → ℕ → ℂ
The sum ∑ (l - x)⁻ʳ over l ∈ L. This converges when 2 < r, see hasSum_sumInvPow.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- PeriodPairstatement and proof · cited by 94
- PeriodPair.latticeproof · cited by 82
Cited by14
Results whose statement or proof uses this declaration.
- PeriodPair.weierstrassPExceptSeriesproof · cited by 8
- PeriodPair.weierstrassPSeriesproof · cited by 4
- PeriodPair.weierstrassPExceptSeries_of_notMemproof · cited by 3
- PeriodPair.hasFPowerSeriesOnBall_weierstrassPExceptproof · cited by 3
- PeriodPair.coeff_weierstrassPExceptSeriesproof · cited by 3
- PeriodPair.derivWeierstrassPExceptSeriesproof · cited by 1
- PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExceptstatement and proof · cited by 1
- PeriodPair.hasFPowerSeriesAt_weierstrassPExceptstatement and proof · cited by 1
- PeriodPair.hasFPowerSeriesOnBall_derivWeierstrassPExceptproof · cited by 1
- PeriodPair.hasSum_sumInvPowstatement · cited by 1
- PeriodPair.iteratedDeriv_derivWeierstrassPExcept_selfstatement and proof · cited by 1
- PeriodPair.sumInvPow_zerostatement · cited by 0