Theorems · Theorem · number theory
LSeries_congr
∀ {f g : ℕ → ℂ}, (∀ {n : ℕ}, n ≠ 0 → f n = g n) → ∀ (s : ℂ), LSeries f s = LSeries g sCongruence for LSeries with the evaluation variable s.
- Defined in
- Mathlib.NumberTheory.LSeries.Basic
- Cited by
- 9 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.
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
- LSeriesstatement · cited by 77
- tsum_congrproof · cited by 64
- LSeries.term_congrproof · cited by 2
Cited by9
Results whose statement or proof uses this declaration.
- ArithmeticFunction.LSeries_zeta_eqproof · cited by 3
- LSeries_eventually_eq_zero_iff'proof · cited by 2
- DirichletCharacter.LSeries_twist_vonMangoldt_eqproof · cited by 2
- LSeries_eq_iff_of_abscissaOfAbsConv_lt_topproof · cited by 1
- LSeries_eq_mul_integralproof · cited by 1
- ArithmeticFunction.LSeries_vonMangoldt_eqproof · cited by 1
- ArithmeticFunction.vonMangoldt.LSeries_residueClass_eqproof · cited by 1
- LSeriesHasSum_congrproof · cited by 0
- LSeries.tendsto_atTopproof · cited by 0