On the density of the odd values of the partition function

DOI10.1007/s00026-018-0397-xzbMath1440.11195arXiv1511.05531OpenAlexW2963850528MaRDI QIDQ1787969

Fabrizio Zanello, William J. Keith, Samuel D. Judge

Publication date: 5 October 2018

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05531

zbMATH Keywords

partition functionmodular forms modulo 2partition identitiesregular partitionsRamanujan identitiesdensity odd valuesmultipartition functionbinary \(q\)-series

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)

Parity of the coefficients of certain eta-quotients ⋮ On the number of even values of an eta-quotient ⋮ 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 ⋮ On the density of the odd values of the partition function. II: An infinite conjectural framework ⋮ Deducing the positive odd density of \(p(n)\) from that of a multipartition function: an unconditional proof ⋮ On the density of the odd values of the partition function and the \(t\)-multipartition function

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