← Session 26 — Go-ahead for ii′-5c
thinking (849 chars)
Good. Key seams found:
- `RvM.completedRiemannZeta_eq_Gammaℝ_mul` (CountByIntegral.lean:41)
- `completedRiemannZeta_one_sub` (Mathlib)
- `completedRiemannZeta_eq_zero_iff` (CountByIntegral.lean:65) — likely `completedRiemannZeta s = 0 ↔ (riemannZeta s = 0 ∧ 0 < s.re ∧ s.re < 1)` or similar. Let me check.
- `RvM.GammaSide.logDeriv_Gammaℝ` (GammaSide.lean:65) and `WeilEF.GammaRBracket.logDeriv_Gammaℝ` (GammaRBracket.lean:53) — two versions; GammaRBracket.lean is probably the bracket form I need.
- `StirlingVert.digamma_stirling` (StirlingVert.lean:483): `(hw : 0 < w.re) (ht : 1/2 ≤ |w.im|) : ‖digamma w - log w + 1/(2w)‖ ≤ 3/w.im²` — need exact statement.
Let me read these key files. Also check `zeroMult` definition and `zeroDiscFinset`, plus LiContour's `zeroMult_neg_two` for the trivial-zero generalization. And the GammaRBracket theorem.
Key seams located. Let me read the exact statements.
tool: Read
input
{
"file_path": "D:\\Python\\Quantum\\zeta-23-lean\\Zeta23\\WeilEF\\GammaRBracket.lean"
}
tool: Read
input
{
"file_path": "D:\\Python\\Quantum\\zeta-23-lean\\Zeta23\\RvM\\CountByIntegral.lean",
"limit": 90,
"offset": 30
}
raw content_json (database row)
[{"type":"thinking","thinking":"Good. Key seams found:\n- `RvM.completedRiemannZeta_eq_Gammaℝ_mul` (CountByIntegral.lean:41)\n- `completedRiemannZeta_one_sub` (Mathlib)\n- `completedRiemannZeta_eq_zero_iff` (CountByIntegral.lean:65) — likely `completedRiemannZeta s = 0 ↔ (riemannZeta s = 0 ∧ 0 < s.re ∧ s.re < 1)` or similar. Let me check.\n- `RvM.GammaSide.logDeriv_Gammaℝ` (GammaSide.lean:65) and `WeilEF.GammaRBracket.logDeriv_Gammaℝ` (GammaRBracket.lean:53) — two versions; GammaRBracket.lean is probably the bracket form I need.\n- `StirlingVert.digamma_stirling` (StirlingVert.lean:483): `(hw : 0 < w.re) (ht : 1/2 ≤ |w.im|) : ‖digamma w - log w + 1/(2w)‖ ≤ 3/w.im²` — need exact statement.\n\nLet me read these key files. Also check `zeroMult` definition and `zeroDiscFinset`, plus LiContour's `zeroMult_neg_two` for the trivial-zero generalization. And the GammaRBracket theorem.","signature":""},{"type":"text","text":"Key seams located. Let me read the exact statements."},{"type":"tool_use","id":"Read_8","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\zeta-23-lean\\Zeta23\\WeilEF\\GammaRBracket.lean"},"extra_content":null},{"type":"tool_use","id":"Read_9","name":"Read","input":{"file_path":"D:\\Python\\Quantum\\zeta-23-lean\\Zeta23\\RvM\\CountByIntegral.lean","limit":90,"offset":30},"extra_content":null}]