Theorems · Theorem · number theory
LSeriesSummable.LSeriesHasSum
∀ {f : ℕ → ℂ} {s : ℂ}, LSeriesSummable f s → LSeriesHasSum f s (LSeries f s)- Defined in
- Mathlib.NumberTheory.LSeries.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 193 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
- Summable.hasSumproof · cited by 184
- LSeriesstatement · cited by 77
- LSeriesSummablestatement and proof · cited by 59
- LSeriesHasSumstatement · cited by 17
Cited by5
Results whose statement or proof uses this declaration.
- LSeries_convolution'proof · cited by 5
- LSeriesSummable.convolutionproof · cited by 2
- LSeriesHasSum_iffproof · cited by 0
- LSeriesHasSum_oneproof · cited by 0
- ArithmeticFunction.LSeriesHasSum_zetaproof · cited by 0