Divisibility of certain \(\ell\)-regular partitions by 2

DOI10.1007/s11139-022-00580-6zbMath1498.05032arXiv2110.14156OpenAlexW3208309598MaRDI QIDQ2084554

Yanyan Li

Publication date: 18 October 2022

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

Full work available at URL: https://arxiv.org/abs/2110.14156

zbMATH Keywords

modular formseta-quotients\(\ell\)-regular partitionsarithmetic density

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11)

Related Items (2)

Certain Diophantine equations and new parity results for 21-regular partitions ⋮ Proofs of some conjectures of Keith and Zanello on \(t\)-regular partition

Cites Work

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• Some modular relations for the Göllnitz-Gordon functions by an even-odd method
• Lacunary eta-quotients modulo powers of primes
• An algorithmic approach to Ramanujan's congruences
• Ramanujan-type congruences modulo \(m\) for \((l, m)\)-regular bipartitions
• Parity of the coefficients of certain eta-quotients
• CONGRUENCE PROPERTIES MODULO 5 AND 7 FOR THE pod FUNCTION
• ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS

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