Theorems · Definition · number theory
LSeriesSummable
(ℕ → ℂ) → ℂ → Prop
LSeriesSummable f s indicates that the L-series of f converges absolutely at s.
- Defined in
- Mathlib.NumberTheory.LSeries.Basic
- Cited by
- 59 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
- Summableproof · cited by 778
- LSeries.termproof · cited by 48
Cited by60
Results whose statement or proof uses this declaration.
- LSeries.abscissaOfAbsConvproof · cited by 50
- LSeriesSummable_of_abscissaOfAbsConv_lt_restatement and proof · cited by 9
- LSeriesSummable.LSeriesHasSumstatement and proof · cited by 5
- LSeriesSummable.of_re_le_restatement and proof · cited by 5
- LSeriesSummable_of_bounded_of_one_lt_restatement · cited by 5
- LSeries_convolution'statement and proof · cited by 5
- DirichletCharacter.LSeriesSummable_iffstatement and proof · cited by 3
- LSeries.abscissaOfAbsConv_binop_lestatement and proof · cited by 3
- LSeriesSummable.abscissaOfAbsConv_lestatement and proof · cited by 3
- LSeriesSummable.smulstatement and proof · cited by 3
- LSeriesSummable_congrstatement · cited by 3
- LSeriesSummable_of_le_const_mul_rpowstatement · cited by 3