{
  "content": "---\nname: mpmath zeta broken in this environment\ndescription: mpmath 1.3 on Python 3.14 (D:\\Python\\Quantum venv) returns wrong zeta values beyond ~16-19 digits for ALL args; zetazero unaffected; use flint.arb.zeta instead\ntype: project\n---\n\nmpmath's `mp.zeta(s)` is inaccurate beyond ~16\u201319 digits in the project\nvenv (mpmath 1.3.0, Python 3.14.4, Windows) \u2014 for integer AND\nnon-integer arguments (e.g., \u03b6(3) and \u03b6(0.5) both wrong from ~digit 17,\nerror independent of mp.dps, up to ~4e-15 relative). `mp.zetazero`\n(Riemann\u2013Siegel path) is NOT affected \u2014 verified to 28 digits, so the\nE-002 zero table is safe. `mp.digamma`, `mp.lerchphi`, `mp.stieltjes`\nvalidated accurate (via identities/literature cross-checks in session\n003).\n\n**Why:** discovered 2026-08-17 (session 003) when E-011's Li-coefficient\nzeta-sum exploded at n\u226560; root-caused via Bernoulli closed-form and\nliterature cross-checks.\n\n**How to apply:** never use `mp.zeta` in this venv for >12-digit work.\nUse `flint.arb(x).zeta()` (python-flint, installed session 003) or\nclosed forms. Any past/future script calling `mp.zeta` directly must be\ntreated as unverified until cross-checked.\n",
  "file_path": "C:\\Users\\lucky\\.nguyen\\projects\\D--Python-Quantum\\memory\\project_mpmath_zeta_bug.md"
}

{
  "type": "create",
  "filePath": "C:\\Users\\lucky\\.nguyen\\projects\\D--Python-Quantum\\memory\\project_mpmath_zeta_bug.md",
  "content": "---\nname: mpmath zeta broken in this environment\ndescription: mpmath 1.3 on Python 3.14 (D:\\Python\\Quantum venv) returns wrong zeta values beyond ~16-19 digits for ALL args; zetazero unaffected; use flint.arb.zeta instead\ntype: project\n---\n\nmpmath's `mp.zeta(s)` is inaccurate beyond ~16\u201319 digits in the project\nvenv (mpmath 1.3.0, Python 3.14.4, Windows) \u2014 for integer AND\nnon-integer arguments (e.g., \u03b6(3) and \u03b6(0.5) both wrong from ~digit 17,\nerror independent of mp.dps, up to ~4e-15 relative). `mp.zetazero`\n(Riemann\u2013Siegel path) is NOT affected \u2014 verified to 28 digits, so the\nE-002 zero table is safe. `mp.digamma`, `mp.lerchphi`, `mp.stieltjes`\nvalidated accurate (via identities/literature cross-checks in session\n003).\n\n**Why:** discovered 2026-08-17 (session 003) when E-011's Li-coefficient\nzeta-sum exploded at n\u226560; root-caused via Bernoulli closed-form and\nliterature cross-checks.\n\n**How to apply:** never use `mp.zeta` in this venv for >12-digit work.\nUse `flint.arb(x).zeta()` (python-flint, installed session 003) or\nclosed forms. Any past/future script calling `mp.zeta` directly must be\ntreated as unverified until cross-checked.\n",
  "structuredPatch": [],
  "originalFile": null
}