trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Actual Hecke Coefficient Field Degree

The exact first-m Fourier-coefficient field of a normalized actual prime-Hecke eigenform has degree at most m.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

Finite-dimensionality and the exact cusp-dimension degree bound

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Direct recorded relationships
Common Eigenvalue Field DegreeCommon Eigenvalue Field DegreeInteger Array Hecke AlgorithmInteger Array Hecke AlgorithmActual Hecke Coefficient Field DegreeActual Hecke Coefficient FieldDegree
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Certified topology / UPSTREAM

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Certified topology / DOWNSTREAM

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Arith
Node ID
D5/S3/Arith/ModularForms/HeckeCoefficientFieldDegree
Repository path
D5/S3/Arith/ModularForms/HeckeCoefficientFieldDegree.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.