Slater’s list of identities

E440254

list of q-series identities mathematical compilation reference work in mathematics

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.

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All labels observed (1)

Label	Occurrences
Slater’s list of identities canonical	1

Statements (39)

Predicate	Object
instanceOf	list of q-series identities ⓘ mathematical compilation ⓘ reference work in mathematics ⓘ
author	Lucy Joan Slater NERFINISHED ⓘ
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 NERFINISHED ⓘ 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 NERFINISHED ⓘ
relatedTo	Bailey chains ⓘ Bailey pairs NERFINISHED ⓘ Ramanujan’s lost notebook NERFINISHED ⓘ Rogers–Fine identity NERFINISHED ⓘ Rogers–Ramanujan identities NERFINISHED ⓘ
topic	Rogers–Ramanujan identities NERFINISHED ⓘ 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 ⓘ

Referenced by (1)

Full triples — surface form annotated when it differs from this entity's canonical label.

Rogers–Ramanujan-type identities → relatedTo → Slater’s list of identities ⓘ