Theorems · Theorem · number theory
ArithmeticFunction.ofPowerSeries_apply_one
∀ {R : Type u_1} [inst : CommSemiring R] (q : ℕ) (f : PowerSeries R),
((ArithmeticFunction.ofPowerSeries q) f) 1 = PowerSeries.constantCoeff f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- AlgHomstatement · cited by 3,236
- pow_zeroproof · cited by 1,094
- PowerSeriesstatement and proof · cited by 797
- PowerSeries.coeffproof · cited by 324
- ArithmeticFunctionstatement and proof · cited by 290
- PowerSeries.constantCoeffstatement and proof · cited by 126
- Function.extendproof · cited by 111
- RingHomCompTriple.comp_applyproof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- ArithmeticFunction.tendsTo_eulerProduct_ofPowerSeriesproof · cited by 0
- ArithmeticFunction.isMultiplicative_ofPowerSeries_of_isPrimePowproof · cited by 0