Congruence properties of the \(m\)-ary partition function
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Publication:2545536
DOI10.1016/0022-314X(71)90051-5zbMath0215.07002OpenAlexW2042250976MaRDI QIDQ2545536
Publication date: 1971
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-314x(71)90051-5
Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)
Related Items (16)
On a general class of non-squashing partitions ⋮ A note on the restricted partition function \(p_{\mathcal{a}}(n, k)\) ⋮ Digit sums and generating functions ⋮ The stair-step approach in mathematics ⋮ Arithmetic properties of \(m\)-ary partitions without gaps ⋮ On the enumeration and congruences for \(m\)-ary partitions ⋮ Characterizing the number of coloured \(m\)-ary partitions modulo \(m\), with and without gaps ⋮ On \(p\)-adic valuations of colored \(p\)-ary partitions ⋮ Algorithmic approach to counting of certain types \(m\)-ary partitions. ⋮ On a restricted \(m\)-ary partition function. ⋮ Unnamed Item ⋮ \(m\)-ary partitions with no gaps: a characterization modulo \(m\) ⋮ On \(m\)-ary partition function congruences: A fresh look at a past problem ⋮ Congruences on the number of restricted \(m\)-ary partitions ⋮ Recurrence sequences connected with the \(m\)-ary partition function and their divisibility properties ⋮ Polynomial analogues of restricted multicolor b-ary partition functions
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