Theorems · Theorem · number theory
LSeriesSummable.smul
∀ {f : ℕ → ℂ} (c : ℂ) {s : ℂ}, LSeriesSummable f s → LSeriesSummable (c • f) s- Defined in
- Mathlib.NumberTheory.LSeries.Linearity
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- LSeriesSummablestatement and proof · cited by 59
- LSeries.term_smulproof · cited by 3
- Summable.const_smulproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- ArithmeticFunction.vonMangoldt.LSeries_residueClass_eqproof · cited by 1
- LSeriesSummable.of_smulproof · cited by 1
- LSeriesSummable.smul_iffproof · cited by 0