On the number of partitions into parts not congruent to \(0, \pm 3\pmod{12}\)

DOI10.1007/s10998-020-00374-7zbMath1499.11305OpenAlexW3128896280WikidataQ114224918 ScholiaQ114224918MaRDI QIDQ2052779

Mircea Merca

Publication date: 27 November 2021

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-020-00374-7

zbMATH Keywords

integer partitionspartition congruencestriangular numbers

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (3)

A further look at cubic partitions ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ A reversal of Schur's partition theorem

Cites Work

• The truncated pentagonal number theorem
• Rademacher-type formulas for restricted partition and overpartition functions
• Truncated theta series and a problem of Guo and Zeng
• Parity of sums of partition numbers and squares in arithmetic progressions
• From a Rogers's identity to overpartitions
• Fast algorithm for generating ascending compositions
• A general method for proving the non-trivial linear homogeneous partition inequalities
• On the expansion of the partition functions in a series
• Overpartitions
• Efficient implementation of the Hardy–Ramanujan–Rademacher formula
• Further Identities of the Rogers-Ramanujan Type
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