Arithmetic properties of $\ell$-regular overpartition pairs

DOI10.3906/mat-1512-62zbMath1424.11151OpenAlexW2619531687MaRDI QIDQ4633315

C. Shivashankar, Megadahalli Siddanaika Mahadeva Naika

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1512-62

zbMATH Keywords

congruencestheta functionregular partitionoverpartition pair

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83)

Related Items (6)

Congruences modulo 8 for \((2,k)\)-regular overpartitions for odd \(k > 1\) ⋮ Congruences for \([j, k\)-overpartitions with even parts distinct] ⋮ New congruences for \(\ell\)-regular overpartition pairs ⋮ Unnamed Item ⋮ Infinite families of congruences for \(m\)-regular \([j, k\)-overpartitions in two colors] ⋮ Congruences for \(\ell\)-regular overpartitions into odd parts

Cites Work

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• ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS
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• Overpartitions
• ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS
• Some results on $3$-cores
• Congruences for 9-regular partitions modulo 3

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