Parity of the coefficients of certain eta-quotients

DOI10.1016/j.jnt.2021.06.034zbMath1491.11096arXiv2010.09881OpenAlexW3186547452WikidataQ114156838 ScholiaQ114156838MaRDI QIDQ2668923

William J. Keith, Fabrizio Zanello

Publication date: 9 March 2022

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

Full work available at URL: https://arxiv.org/abs/2010.09881

zbMATH Keywords

partition functionpartition identityregular partitioneta-quotientdensity odd valuesmodular form modulo 2binary \(q\)-seriesparity of the partition function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (7)

New parity results for 3-regular partitions ⋮ On the number of even values of an eta-quotient ⋮ Certain Diophantine equations and new parity results for 21-regular partitions ⋮ Congruences modulo \(4\) for the number of \(3\)-regular partitions ⋮ Proofs of some conjectures of Keith and Zanello on \(t\)-regular partition ⋮ Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions ⋮ Divisibility of certain \(\ell\)-regular partitions by 2

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