Congruences for Andrews' \((k,i)\)-singular overpartitions

DOI10.1007/s11139-016-9830-0zbMath1373.05016OpenAlexW2536062627MaRDI QIDQ1676097

Victor Manuel Aricheta

Publication date: 3 November 2017

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

Full work available at URL: https://doi.org/10.1007/s11139-016-9830-0

zbMATH Keywords

congruences for modular formssingular overpartitionseta-products

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (7)

New infinite families of congruences for Andrews’ (K, I)-singular overpartitions ⋮ Arithmetic density and new congruences for \(3\)-core partitions ⋮ New density results and congruences for Andrews' singular overpartitions ⋮ Certain eta-quotients and arithmetic density of Andrews' singular overpartitions ⋮ DIVISIBILITY OF CERTAIN SINGULAR OVERPARTITIONS BY POWERS OF AND ⋮ On mex-related partition functions of Andrews and Newman ⋮ Divisibility of Andrews' singular overpartitions by powers of 2 and 3

Cites Work

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• Divisibility of certain partition functions by powers of primes
• Gordon's theorem for overpartitions.
• Distribution of the partition function modulo \(m\)
• Arithmetic properties of Andrews' singular overpartitions
• Singular overpartitions
• Construction and Application of a Class of Modular Functions†
• Overpartitions
• Overpartition Theorems of the Rogers–Ramanujan Type
• 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
• Construction and Application of a Class of Modular Functions (II)†
• Multiplicative 𝜂-quotients
• The construction of modular forms as products of transforms of the Dedekind eta function

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