Slater’s list of identities
E440254
Slater’s list of identities is a celebrated compilation of Rogers–Ramanujan-type q-series and partition identities that has become a standard reference in the theory of basic hypergeometric series and combinatorial number theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Slater’s list of identities canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T4437406 — 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: Slater’s list of identities Context triple: [Rogers–Ramanujan-type identities, relatedTo, Slater’s list of identities]
-
A.
The Applicant
The Applicant is a poem by Sylvia Plath that explores themes of gender roles, identity, and the commodification of women in marriage.
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B.
Slevin Kelevra
Slevin Kelevra is the unlucky yet sharp-witted protagonist of the crime thriller film "Lucky Number Slevin," who becomes entangled in a complex web of mistaken identity, mob rivalry, and revenge.
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C.
The Representation Project
The Representation Project is a nonprofit organization that uses film, education, and social media campaigns to challenge limiting gender stereotypes and promote gender equality in media and culture.
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D.
Shriever
Shriever is a surname, a variant spelling of "Shriver," borne by various individuals of English-speaking origin.
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E.
The Names
The Names is a 1982 novel by Don DeLillo that blends political intrigue, linguistic obsession, and expatriate life in Greece and the Middle East into a meditative exploration of language, violence, and meaning.
- 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: Slater’s list of identities Target entity description: Slater’s list of identities is a celebrated compilation of Rogers–Ramanujan-type q-series and partition identities that has become a standard reference in the theory of basic hypergeometric series and combinatorial number theory.
-
A.
The Applicant
The Applicant is a poem by Sylvia Plath that explores themes of gender roles, identity, and the commodification of women in marriage.
-
B.
Slevin Kelevra
Slevin Kelevra is the unlucky yet sharp-witted protagonist of the crime thriller film "Lucky Number Slevin," who becomes entangled in a complex web of mistaken identity, mob rivalry, and revenge.
-
C.
The Representation Project
The Representation Project is a nonprofit organization that uses film, education, and social media campaigns to challenge limiting gender stereotypes and promote gender equality in media and culture.
-
D.
Shriever
Shriever is a surname, a variant spelling of "Shriver," borne by various individuals of English-speaking origin.
-
E.
The Names
The Names is a 1982 novel by Don DeLillo that blends political intrigue, linguistic obsession, and expatriate life in Greece and the Middle East into a meditative exploration of language, violence, and meaning.
- F. None of above. chosen
Statements (39)
| Predicate | Object |
|---|---|
| instanceOf |
list of q-series identities
ⓘ
mathematical compilation ⓘ reference work in mathematics ⓘ |
| author | Lucy Joan Slater ⓘ |
| contains |
families of q-series-product identities
ⓘ
identities relating infinite q-series to infinite products ⓘ many identities of Rogers–Ramanujan type ⓘ |
| describedAs |
celebrated compilation of Rogers–Ramanujan-type identities
ⓘ
standard reference in combinatorial number theory ⓘ standard reference in the theory of basic hypergeometric series ⓘ |
| field |
basic hypergeometric series
ⓘ
combinatorics ⓘ number theory ⓘ partition theory ⓘ special functions ⓘ |
| hasPart |
Rogers–Ramanujan-type q-series identities
ⓘ
linked to:
Rogers–Ramanujan-type identities
basic hypergeometric series identities ⓘ partition identities ⓘ |
| influenced |
later compilations of q-series identities
ⓘ
research in combinatorial number theory ⓘ subsequent work on basic hypergeometric series ⓘ |
| namedAfter | Lucy Joan Slater ⓘ |
| relatedTo |
Bailey chains
ⓘ
Bailey pairs ⓘ Ramanujan’s lost notebook ⓘ Rogers–Fine identity ⓘ Rogers–Ramanujan identities ⓘ |
| topic |
Rogers–Ramanujan identities
ⓘ
integer partitions ⓘ modular-type partition congruences ⓘ q-hypergeometric series ⓘ q-series ⓘ |
| use |
classification of Rogers–Ramanujan-type identities
ⓘ
reference for q-series identities ⓘ source for basic hypergeometric transformations ⓘ tool in combinatorial proofs ⓘ |
| usedIn |
classification of basic hypergeometric transformations
ⓘ
derivation of new q-series identities ⓘ proofs of partition identities ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Slater’s list of identities Description of subject: Slater’s list of identities is a celebrated compilation of Rogers–Ramanujan-type q-series and partition identities that has become a standard reference in the theory of basic hypergeometric series and combinatorial number theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.