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Theorems · Theorem · number theory

ArithmeticFunction.ppow_zero

∀ {R : Type u_1} [inst : Semiring R] {f : ArithmeticFunction R}, f.ppow 0 = ↑ArithmeticFunction.zeta
Defined in
Mathlib.NumberTheory.ArithmeticFunction.Zeta
Cited by
3 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext
Assumes
Semiring
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Around this declaration

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ArithmeticFunction.pow_apply · cited by 3ArithmeticFunction.pow_ap…ArithmeticFunction.ppow_succ' · cited by 1ArithmeticFunction.ppow_s…ArithmeticFunction.ppow_succ · cited by 0ArithmeticFunction.ppow_s…Semiring · cited by 13802SemiringArithmeticFunction · cited by 290ArithmeticFunctionArithmeticFunction.zeta · cited by 45ArithmeticFunction.zetaArithmeticFunction.natToArithmeticFunction · cited by 30ArithmeticFunction.natToA…ArithmeticFunction.ppow · cited by 6ArithmeticFunction.ppowArithmeticFunction.ppow_zeroCITED BYCITES

Cites5

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Cited by3

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