Rogers–Fine identity
E1280791
UNEXPLORED
The Rogers–Fine identity is a notable q-series identity in the theory of basic hypergeometric series, extending and refining classical Rogers-type identities used in partition theory and combinatorics.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Rogers–Fine identity canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T17661146 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Rogers–Fine identity Context triple: [Bailey lemma, relatedTo, Rogers–Fine identity]
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A.
Dolan–Grady relations
The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
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B.
Rabinowitz
Rabinowitz is the original family surname of renowned American choreographer and director Jerome Robbins.
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C.
Casselman
Casselman is a small bilingual village and municipality in Eastern Ontario, Canada, known for its francophone community and location along the South Nation River.
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D.
Weyl
Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
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E.
Hitchin connection
The Hitchin connection is a geometric connection on bundles of conformal blocks over Teichmüller space, central to the study of quantization, moduli spaces, and topological quantum field theory.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Rogers–Fine identity Target entity description: The Rogers–Fine identity is a notable q-series identity in the theory of basic hypergeometric series, extending and refining classical Rogers-type identities used in partition theory and combinatorics.
-
A.
Dolan–Grady relations
The Dolan–Grady relations are algebraic commutation relations between two operators that generate the Onsager algebra and play a key role in the study of exactly solvable models in statistical mechanics.
-
B.
Rabinowitz
Rabinowitz is the original family surname of renowned American choreographer and director Jerome Robbins.
-
C.
Casselman
Casselman is a small bilingual village and municipality in Eastern Ontario, Canada, known for its francophone community and location along the South Nation River.
-
D.
Weyl
Weyl is a surname most famously associated with Hermann Weyl, a prominent 20th-century mathematician and theoretical physicist known for major contributions to group theory, quantum mechanics, and the foundations of mathematics.
-
E.
Hitchin connection
The Hitchin connection is a geometric connection on bundles of conformal blocks over Teichmüller space, central to the study of quantization, moduli spaces, and topological quantum field theory.
- F. None of above. chosen
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.