Contribution Category

Rogers-Ramanujan Identities

The celebrated identities, partition interpretations and modular meaning.

7 catalogue entries

7 entries shown from 177 detailed discovery and contribution-family records.

First Rogers-Ramanujan Identity

n = 0 \sum \infty \frac{q ^{n^{2}}}{( q ; q ) _{n}} = \frac{1}{( q ; q ^{5} ) _{\infty} ( q ^{4} ; q ^{5} ) _{\infty}}

First Rogers-Ramanujan Identity is catalogued as a identity in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Rogers-Ramanujan Identities

Second Rogers-Ramanujan Identity

n = 0 \sum \infty \frac{q ^{n (n + 1)}}{( q ; q ) _{n}} = \frac{1}{( q ^{2} ; q ^{5} ) _{\infty} ( q ^{3} ; q ^{5} ) _{\infty}}

Second Rogers-Ramanujan Identity is catalogued as a identity in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Rogers-Ramanujan Identities

Partition Interpretations

Contribution family

Partition Interpretations is catalogued as a concept in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Rogers-Ramanujan Identities

\sum \frac{q ^{n^{2}}}{( q ; q ) _{n}} = \frac{1}{( q , q ^{4} ; q ^{5} ) _{\infty}}

Rogers-Ramanujan Identities is catalogued as a contribution family in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Rogers-Ramanujan Identities

Schur Partition Theorem Context

Contribution family

Schur Partition Theorem Context is catalogued as a concept in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Rogers-Ramanujan Identities

Rogers-Ramanujan Product Identities

Contribution family

Rogers-Ramanujan Product Identities is catalogued as a identity in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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Rogers-Ramanujan Identities

Rogers-Ramanujan Modular Relations

Contribution family

Rogers-Ramanujan Modular Relations is catalogued as a identity in Rogers-Ramanujan Identities.

Level: Advanced
Source: Source catalogue
Status: needs-review

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