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chore(NumberTheory/ArithmeticFunction): rename sigma_apply_from_factorization -> sigma_eq_prod_primeFactors_sum_range_factorization_pow_mul
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Mathlib/NumberTheory/ArithmeticFunction.lean

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@@ -958,7 +958,7 @@ theorem sigma_eq_one_iff (k n : ℕ) : σ k n = 1 ↔ n = 1 := by
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· rintro rfl
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simp
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theorem sigma_apply_from_factorization {k n : ℕ} (hn : n ≠ 0) :
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theorem sigma_eq_prod_primeFactors_sum_range_factorization_pow_mul {k n : ℕ} (hn : n ≠ 0) :
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σ k n = ∏ p ∈ n.primeFactors, ∑ i ∈ .range (n.factorization p + 1), p ^ (i * k) := by
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rw [isMultiplicative_sigma.multiplicative_factorization _ hn]
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exact Finset.prod_congr n.support_factorization fun _ h ↦

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