Ramanujan’s congruences for partitions modulo $5, 7$ and $11$

We obtain short and uniform proofs of Ramanujan's partition congruences modulo $5, 7$ and $11$.

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Publication Details

Journal
Hardy-Ramanujan Journal
Published
2026-04-27
DOI
https://doi.org/10.46298/hrj.2026.17901
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

Ramanujan’s congruences for partitions modulo $5, 7$ and $11$

Don Zagier
Hardy-Ramanujan Journal
Advanced Mathematical Identities
article

Ramanujan’s congruences for partitions modulo $5, 7$ and $11$

Don Zagier
article en

Abstract

We obtain short and uniform proofs of Ramanujan's partition congruences modulo $5, 7$ and $11$.

Hardy-Ramanujan JournalVol. Volume 48 - 2025
Max Planck Institute for Mathematics (DE)
Openalex Percentile: Top 8%
Advanced Mathematical Identities
DOIOpen Access PDFOpenAlex
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Ramanujan’s congruences for partitions modulo $5, 7$ and $11$ — Don Zagier · Hardy-Ramanujan Journal (2026) | TGRS Research Map | TGRS