Partitions into distinct parts modulo powers of 5

DOI10.1007/S00026-019-00439-6zbMath1506.11131OpenAlexW4239281909WikidataQ126760896 ScholiaQ126760896MaRDI QIDQ2299104

Shane Chern, Michael D. Hirschhorn

Publication date: 20 February 2020

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00026-019-00439-6

zbMATH Keywords

congruencesdistinct partspowers of 5

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (5)

A conjecture of Baruah and Begum on the smallest parts function of restricted overpartitions ⋮ Congruence properties modulo powers of 2 for overpartitions and overpartition pairs ⋮ 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5 ⋮ THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters

Cites Work

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• The power of \(q\). A personal journey
• Exact generating functions for the number of partitions into distinct parts
• THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
• THE ROGERS–RAMANUJAN CONTINUED FRACTION AND RELATED ETA-QUOTIENT REPRESENTATIONS

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