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Theorems · Theorem · number theory

LSeries_deriv_eqOn

∀ {f : ℕ → ℂ}, Set.EqOn (deriv (LSeries f)) (-LSeries (LSeries.logMul f)) {s | LSeries.abscissaOfAbsConv f < ↑s.re}

The derivative of the L-series of f agrees with the negative of the L-series of log * f on the right half-plane of absolute convergence.

Defined in
Mathlib.NumberTheory.LSeries.Deriv
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Foundations
Depth 295 from the axioms · uses propext, Classical.choice, Quot.sound

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