Partition Theory

Partition Generating Function

Euler knew the generating function; Ramanujan revealed extraordinary arithmetic properties of its coefficients.

Level

Intermediate

Source

Source catalogue

Status

needs-review

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Ramanujan's Partition Congruences

Ramanujan discovered striking congruence properties of partition numbers.

Level

Intermediate

Source

Published Papers

Status

source-supplied

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Higher-Power Partition Congruences

Higher-Power Partition Congruences is catalogued as a contribution family in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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Hardy-Ramanujan Asymptotic Formula

A collaboration with G. H. Hardy giving the growth of p(n).

Level

Advanced

Source

Hardy-Ramanujan

Status

source-supplied

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Hardy-Ramanujan Circle Method

Contribution family

Hardy-Ramanujan Circle Method is catalogued as a method in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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Restricted Partition Identities

Contribution family

Restricted Partition Identities is catalogued as a identity in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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Partition Rank and Crank Context

Contribution family

Partition Rank and Crank Context is catalogued as a concept in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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Partition Identities from the Lost Notebook

Contribution family

Partition Identities from the Lost Notebook is catalogued as a contribution family in Partition Theory.

Level

Advanced

Source

Lost Notebook

Status

source-supplied

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Partition Dissection Formulas

Contribution family

Dissections of generating functions are a recurring tool in partition congruence work.

Level

Advanced

Source

Source catalogue

Status

needs-review

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5-, 7-, and 11-Dissections of Partition Series

Contribution family

5-, 7-, and 11-Dissections of Partition Series is catalogued as a contribution family in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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Partition Congruences Modulo Prime Powers

Partition Congruences Modulo Prime Powers is catalogued as a contribution family in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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q-Series for Partition Identities

Contribution family

q-Series for Partition Identities is catalogued as a series in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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Refinements of Partition Asymptotics

Contribution family

Refinements of Partition Asymptotics is catalogued as a contribution family in Partition Theory.

Level

Advanced

Source

Source catalogue

Status

needs-review

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