trureturingGitHub MATHEMATICAL ATLAS

Quantum / CONCEPT

A closed form for the generalized Stirling numbers of boson ordering

The generalized Stirling numbers with parameters (-1, 2; r), which govern boson operator orderings, have the closed form conjectured by Maier for every integer r, once the first binomial coefficient is read as the generalized binomial coefficient.

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DIRECT PREREQUISITES1
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PROOF DEPTH1
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THEOREM

Proof of the conjecture

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The binomial coefficient with an integer lower indexThe binomial coefficient withan integer lower indexA closed form for the generalized Stirling numbers of boson orderingA closed form for thegeneralized Stirling numbers ofboson ordering
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Quantum
Node ID
D5/S3/Quantum/FockSpace/BosonOrderingStirlingClosedForm
Repository path
D5/S3/Quantum/FockSpace/BosonOrderingStirlingClosedForm.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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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.