On the parity of the number of partitions with odd multiplicities

DOI10.1142/S1793042121500573zbMath1480.11133arXiv2004.06204OpenAlexW3115757614WikidataQ114071935 ScholiaQ114071935MaRDI QIDQ5009094

James A. Sellers, Fabrizio Zanello

Publication date: 19 August 2021

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

Full work available at URL: https://arxiv.org/abs/2004.06204

zbMATH Keywords

partition functioneta-quotientodd multiplicitydensity odd valuesbinary integer representation

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Sums of squares and representations by other particular quadratic forms (11E25) Partitions; congruences and congruential restrictions (11P83) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

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• PARITY RESULTS FOR PARTITIONS WHEREIN EACH PART APPEARS AN ODD NUMBER OF TIMES
• On the Distribution of Parity in the Partition Function