← Session 33 — ii′-3b/3c crux + F-D finding; Lagarias letter package
thinking (502 chars)
Continuing to ii′-3c. Per STATE.md NEXT ACTION: ii′-3c — the (4.10-a) assembly (D-066 §2): prove τ_j = c_j + (−1)ʲσ_{j+1} − (−1)ʲ and hence the crux identity Sf(n) = Res₁(n). Needs the FE derivative relation gFun^{(k−1)}(0) = (−1)^k·gFun^{(k−1)}(1).
First, read D-066 §2's assembly plan, and check what exists: iteratedDeriv_logDeriv_Gammaℝ (LiArchimedean), iteratedDeriv_hLiExt (LiZetaCoeff), the definitions of lagariasA (τ_j?), lcoeff (c_j?), sigmaP, sInfty, Sf, ResW1.
Let me look at D-066 first.
Continuing to ii′-3c. Reading the D-066 assembly plan first.
tool: Bash
input
{
"command": "ls D:/Python/Quantum/research/derivations/ | grep -i \"066\\|070\" && grep -n \"## \" D:/Python/Quantum/research/derivations/D-066*.md | head -20",
"description": "Locate D-066 and its section structure"
}
raw content_json (database row)
[{"type":"thinking","thinking":"Continuing to ii′-3c. Per STATE.md NEXT ACTION: ii′-3c — the (4.10-a) assembly (D-066 §2): prove τ_j = c_j + (−1)ʲσ_{j+1} − (−1)ʲ and hence the crux identity Sf(n) = Res₁(n). Needs the FE derivative relation gFun^{(k−1)}(0) = (−1)^k·gFun^{(k−1)}(1).\n\nFirst, read D-066 §2's assembly plan, and check what exists: iteratedDeriv_logDeriv_Gammaℝ (LiArchimedean), iteratedDeriv_hLiExt (LiZetaCoeff), the definitions of lagariasA (τ_j?), lcoeff (c_j?), sigmaP, sInfty, Sf, ResW1.\n\nLet me look at D-066 first.","signature":""},{"type":"text","text":"Continuing to ii′-3c. Reading the D-066 assembly plan first."},{"type":"tool_use","id":"Bash_91","name":"Bash","input":{"command":"ls D:/Python/Quantum/research/derivations/ | grep -i \"066\\|070\" && grep -n \"## \" D:/Python/Quantum/research/derivations/D-066*.md | head -20","description":"Locate D-066 and its section structure"},"extra_content":null}]