← Session 28 — ii′-5e: partial-fraction identity (zero series + F entire)
thinking (261 chars)
All statements confirmed. Now the Dirichlet bound for re ≥ 2 — the one missing piece. Let me check what Zeta23 has for the LSeries vonMangoldt −ζ′/ζ. Session 019 inventory said "LSeries vonMangoldt ✓". Check Mathlib for `LSeries vonMangoldt` = −ζ′/ζ and bounds.
The last missing input: a Dirichlet bound for ‖ζ′/ζ‖ on re ≥ 2. Checking the LSeries vonMangoldt assets.
tool: Bash
input
{
"command": "cd D:/Python/Quantum/zeta-23-lean && grep -rn \"vonMangoldt\" Zeta23/ --include=*.lean -l | head -5 && grep -rn \"neg_logDeriv\\|logDeriv.*LSeries\\|LSeries.*zeta\" Zeta23/ --include=*.lean | head -8; cd .lake/packages/mathlib && grep -rn \"vonMangoldt.*neg.*logDeriv\\|LSeries_vonMangoldt_eq\\|riemannZeta.*LSeries\" Mathlib/NumberTheory/LSeries/Zeta.lean Mathlib/NumberTheory/LSeries/Dirichlet.lean Mathlib/NumberTheory/LSeries/Deriv.lean 2>/dev/null | head -8",
"description": "LSeries vonMangoldt \u2212\u03b6\u2032/\u03b6 assets"
}
raw content_json (database row)
[{"type":"thinking","thinking":"All statements confirmed. Now the Dirichlet bound for re ≥ 2 — the one missing piece. Let me check what Zeta23 has for the LSeries vonMangoldt −ζ′/ζ. Session 019 inventory said \"LSeries vonMangoldt ✓\". Check Mathlib for `LSeries vonMangoldt` = −ζ′/ζ and bounds.","signature":""},{"type":"text","text":"The last missing input: a Dirichlet bound for ‖ζ′/ζ‖ on re ≥ 2. Checking the LSeries vonMangoldt assets."},{"type":"tool_use","id":"Bash_239","name":"Bash","input":{"command":"cd D:/Python/Quantum/zeta-23-lean && grep -rn \"vonMangoldt\" Zeta23/ --include=*.lean -l | head -5 && grep -rn \"neg_logDeriv\\|logDeriv.*LSeries\\|LSeries.*zeta\" Zeta23/ --include=*.lean | head -8; cd .lake/packages/mathlib && grep -rn \"vonMangoldt.*neg.*logDeriv\\|LSeries_vonMangoldt_eq\\|riemannZeta.*LSeries\" Mathlib/NumberTheory/LSeries/Zeta.lean Mathlib/NumberTheory/LSeries/Dirichlet.lean Mathlib/NumberTheory/LSeries/Deriv.lean 2>/dev/null | head -8","description":"LSeries vonMangoldt −ζ′/ζ assets"},"extra_content":null}]