Partitions with initial repetitions

DOI10.1007/s10114-009-6292-yzbMath1189.05018OpenAlexW2118205335MaRDI QIDQ1044314

George E. Andrews

Publication date: 11 December 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-6292-y

zbMATH Keywords

Rogers-Selberg identitiesBailey's modulus 9 identitiesGlaisher's theoreminitial \(k\)-repetitionspartitions without gaps

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (11)

Variants of classical \(q\)-hypergeometric identities and partition implications ⋮ The Bailey chain and mock theta functions ⋮ Modulo 2 congruences for partitions with initial repetitions ⋮ On flushed partitions and concave compositions ⋮ Partitions associated with the Ramanujan/Watson mock theta functions \(\omega(q)\), \(\nu(q)\) and \(\phi(q)\) ⋮ A bijection for partitions with initial repetitions ⋮ Combinatorics of some fifth and sixth order mock theta functions ⋮ Partition identities with mixed mock modular forms ⋮ New congruences modulo 5 for partition related to mock theta function \(\omega (q)\) ⋮ Distribution of a certain partition function modulo powers of primes ⋮ On partitions with initial repetitions

Cites Work

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• On a conjecture of Peter Borwein
• q-identities of Auluck, Carlitz, and Rogers
• Some Identities in Combinatory Analysis
• Further Identities of the Rogers-Ramanujan Type

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