DIVISIBILITY OF CERTAIN SINGULAR OVERPARTITIONS BY POWERS OF $\textbf{2}$ AND $\textbf{3}
DIVISIBILITY OF CERTAIN SINGULAR OVERPARTITIONS BY POWERS OF $\textbf{2}$ AND $\textbf{3}
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Cambridge, UK: Cambridge University Press
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English
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Cambridge, UK: Cambridge University Press
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Andrews introduced the partition function
$\overline {C}_{k, i}(n)$
, called the singular overpartition function, which counts the number of overpartitions of n in which no part is divisible by k and only parts
$\equiv \pm i\pmod {k}$
may be overlined. We prove that
$\overline {C}_{6, 2}(n)$
is almost always divisible by
$2^k$<...
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Full title
DIVISIBILITY OF CERTAIN SINGULAR OVERPARTITIONS BY POWERS OF $\textbf{2}$ AND $\textbf{3}
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TN_cdi_proquest_journals_2730665928
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2730665928
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ISSN
0004-9727
E-ISSN
1755-1633
DOI
10.1017/S0004972720001513
