On a conjecture of Soon-Yi Kang on a certain partition rank difference

DOI10.1007/s11139-014-9561-zzbMath1303.11113OpenAlexW2026804853WikidataQ122893613 ScholiaQ122893613MaRDI QIDQ486604

Byungchan Kim, Hayan Nam

Publication date: 16 January 2015

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-014-9561-z

zbMATH Keywords

circle methodinteger partitionsperiodicity for the sign in the \(q\)-expansion

Mathematics Subject Classification ID

Analytic theory of partitions (11P82)

Related Items (2)

Asymptotics for the Fourier coefficients of eta-quotients ⋮ Combinations of ranks and cranks of partitions moduli 6, 9 and 12 and their comparison with the partition function

Cites Work

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• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• The Crank of Partitions Mod 8, 9 and 10
• Some asymptotics for cranks
• CONGRUENCES FOR DYSON'S RANKS
• Mock Jacobi forms in basic hypergeometric series
• Dyson’s crank of a partition
• Relations Between the Rank and the Crank Modulo 9
• Resolution of a conjecture of Andrews and Lewis involving cranks of partitions
• Partition congruences and the Andrews-Garvan-Dyson crank
• Some Properties of Partitions

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