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CRANK 0 PARTITIONS AND THE PARITY OF THE PARTITION FUNCTION

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Publication:3011063
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DOI10.1142/S1793042111004381zbMath1223.11127MaRDI QIDQ3011063

S. J. Kaavya

Publication date: 27 June 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)


zbMATH Keywords

partitionscrankgenerating functionsrankparity problem


Mathematics Subject Classification ID

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


Related Items (6)

On the distribution of the \textsf{spt}-crank ⋮ Variations on a result of Bressoud ⋮ Proof of the Andrews-Dyson-Rhoades conjecture on the spt-crank ⋮ Asymptotic inequalities for \(k\)-ranks and their cumulation functions ⋮ On the number of equivalence classes arising from partition involutions. II ⋮ Peak positions of strongly unimodal sequences



Cites Work

  • Some observations on Dyson's new symmetries of partitions
  • Dyson’s crank of a partition
  • Congruence properties for the partition function


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