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Mathematics · Source-linked note

Ramanujan: congruences for the partition function

Proved the modulo 5 and modulo 7 partition congruences and stated a wider family of congruence phenomena for the partition function.

What is recorded here?

Proved the modulo 5 and modulo 7 partition congruences and stated a wider family of congruence phenomena for the partition function.

Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.

Scientific scope

The record is the exact 1919 Cambridge Philosophical Society paper. The Hardy–Ramanujan asymptotic formula, Ramanujan’s later partition memoir and posthumous congruence paper remain separate.

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People and systems

Srinivasa Ramanujan

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

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English catalogue narrative

Ramanujan: congruences for the partition function

Proved the modulo 5 and modulo 7 partition congruences and stated a wider family of congruence phenomena for the partition function.

Scientific scope

The record is the exact 1919 Cambridge Philosophical Society paper. The Hardy–Ramanujan asymptotic formula, Ramanujan’s later partition memoir and posthumous congruence paper remain separate.

Reading status

This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.

People and systems

Srinivasa Ramanujan

The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.

Original sources