Theorems · Definition · number theory
LSeriesHasSum
(ℕ → ℂ) → ℂ → ℂ → Prop
This states that the L-series of the sequence f converges absolutely at s and that
the value there is a.
- Defined in
- Mathlib.NumberTheory.LSeries.Basic
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- HasSumproof · cited by 518
- LSeries.termproof · cited by 48
Cited by17
Results whose statement or proof uses this declaration.
- LSeriesSummable.LSeriesHasSumstatement · cited by 5
- LSeriesHasSum.convolutionstatement and proof · cited by 3
- LSeriesHasSum.LSeriesSummablestatement and proof · cited by 2
- LSeriesHasSum.LSeries_eqstatement and proof · cited by 2
- HurwitzZeta.LSeriesHasSum_cosstatement · cited by 0
- HurwitzZeta.LSeriesHasSum_expstatement · cited by 0
- HurwitzZeta.LSeriesHasSum_sinstatement · cited by 0
- ArithmeticFunction.LSeriesHasSum_mulstatement and proof · cited by 0
- ArithmeticFunction.LSeriesHasSum_zetastatement · cited by 0
- LSeriesHasSum.substatement and proof · cited by 0
- LSeriesHasSum_congrstatement · cited by 0
- LSeriesHasSum_iffstatement and proof · cited by 0