Real.summable_nat_rpow_inv

∀ {p : ℝ}, (Summable fun n => (↑n ^ p)⁻¹) ↔ 1 < p

Test for convergence of the p-series: the real-valued series ∑' n : ℕ, (n ^ p)⁻¹ converges if and only if 1 < p.

Defined in: Mathlib.Analysis.PSeries
Cited by: 1 results in Mathlib
Foundations: Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

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