On mex-related partition functions of Andrews and Newman
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Publication:2045744
DOI10.1007/s40993-021-00284-8zbMath1478.11121arXiv2009.11602OpenAlexW3188231655MaRDI QIDQ2045744
Publication date: 13 August 2021
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.11602
partitionmodular formssingular overpartitioneta-quotientsminimal excludantarithmetic densitymex function
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11) Elementary theory of partitions (11P81)
Related Items (5)
Combinatorial perspectives on the Crank and mex partition statistics ⋮ Minimal excludant over partitions into distinct parts ⋮ Arithmetic density and new congruences for \(3\)-core partitions ⋮ Parity distribution and divisibility of mex-related partition functions ⋮ A refinement of a result of Andrews and Newman on the sum of minimal excludants
Uses Software
Cites Work
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- Mock characters and the Kronecker symbol
- Arithmetic properties of Andrews' singular overpartitions
- Singular overpartitions
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- New congruences for Andrews' singular overpartitions
- Dyson’s crank of a partition
- Overpartitions
- New infinite families of congruences for Andrews’ (K, I)-singular overpartitions
- Some congruences modulo 2, 8 and 12 for Andrews' singular overpartitions
- Parity of the partition function in arithmetic progressions.
- Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
- 2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS
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