DEF0295canonicalv1q-Expansion Coefficients
The q-expansion coefficients of Eisenstein series that determine the S-duality residuals: E₄ coefficient 240, E₆ coefficient −504. Their sum 744 = dim(E₈ roots) + 504 is the constant term of the j-invariant.
Payload
q-Expansion Coefficients
The q-expansion coefficients of Eisenstein series that determine the S-duality residuals: E₄ coefficient 240, E₆ coefficient −504. Their sum 744 = dim(E₈ roots) + 504 is the constant term of the j-invariant.
q-Expansion Coefficients
Summary
The q-expansion coefficients of Eisenstein series that determine the S-duality residuals: E₄ coefficient 240, E₆ coefficient −504. Their sum 744 = dim(E₈ roots) + 504 is the constant term of the j-invariant.
Statement
No manuscript statement was extracted in this pilot run.
Proof / Justification
This item is definitional. No manuscript proof is required.
Source Context
- Registry source:
book-03.jsonlline 210 - Manuscript source: not matched
Lean / Formalization Notes
- Formalization:
formalized - Module:
TauLib.BookIII.Spectral.ConfinementBridge - Name:
Tau.BookIII.Spectral.ConfinementBridge.E4_qcoeff
Dependencies
- Canonical: III.D24
Related Results
Generated by later projection phases.
Related Publications
Generated by later projection phases.
Revision Notes
- 2026-04-24: Initial pilot migration.
Identifiers
Aliases & legacy IDs
III.D80q-expansion-coefficientsdef:q-expansion-coefficientsRelease lines
corpus_v3_workingcorpus_v2Relations
Formalized by (2)
Appears in (1)
Downstream uses (computed) (4)
Items in the corpus that reference this one via load-bearing relations. Computed from the full corpus-v3 graph at build time.
Sources
Version & History
Status disclaimer
A Corpus Item page reports the program's current internal record for this item. It does not imply external verification, scientific consensus, or final proof unless explicitly stated. Read it together with its dependencies, formalization status, and the program's overall stance.