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Attribute the multiplication theorem proof
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girving committed Jan 4, 2025
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Expand Up @@ -146,6 +146,7 @@ lemma integrable_bernoulliFun_comp_add_right {s : ℕ} {a b c : ℝ} :
apply Continuous.intervalIntegrable
continuity

/-- The multiplication theorem. Proof follows https://math.stackexchange.com/a/1721099/38218. -/
lemma bernoulliFun_mul (s m : ℕ) (m0 : m ≠ 0) (x : ℝ) :
bernoulliFun s (m * x) =
m ^ s / m * ∑ k ∈ Finset.range m, bernoulliFun s (x + k / m) := by
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