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The Triple Riordan Group

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arxiv 2412.05461 v1 pith:2BSJSAB5 submitted 2024-12-06 math.CO

classification math.CO
keywords groupmathbfriordantripleappropriateconsistconstructiondefine
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abstract

We define the triple Riordan group, whose elements consist of $4$-tuples of power series $(g, f_1, f_2, f_3)$ with $g\in \mathbf{R}[[x^3]]$, and $f_1, f_2, f_3 \in x\mathbf{R}[[x^3]]$, for an appropriate ring $\mathbf{R}$. The construction of this group generalizes that of the double Riordan group, and lays the pattern for further generalizations.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Sequence Characterization of Multiple Almost-Riordan Arrays and Their Compressions

    math.CO 2025-09 reject novelty 5.0 of 10

    The author defines ℓ-level almost-Riordan arrays, states without proof that they form a group, and gives sequence and compression characterizations that reduce to previously published equations.

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