Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions

Let $\mathcal A=(a_i)_{i=1}^\infty $ be a non-decreasing sequence of positive integers and let $k$ be a fixed positive integer. For an arbitrary integer $n$, the restricted partition function $p_\mathcal A(n,k)$ enumerates all the partitions of $n$ whose

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Publication Details

Journal
Acta Arithmetica
Published
2024-12-27
DOI
https://doi.org/10.4064/aa231101-30-6
Primary Topic
Advanced Mathematical Identities
Type
article
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article

Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions

Krystian Gajdzica
Acta Arithmetica
Advanced Mathematical Identities
article

Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions

Krystian Gajdzica
article en

Abstract

Let $\mathcal A=(a_i)_{i=1}^\infty $ be a non-decreasing sequence of positive integers and let $k$ be a fixed positive integer. For an arbitrary integer $n$, the restricted partition function $p_\mathcal A(n,k)$ enumerates all the partitions of $n$ whose

Acta ArithmeticaVol. 217(1)
Jagiellonian University (PL)
Reduced inequalities
Openalex Percentile: Top 57%
Advanced Mathematical Identities
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Restricted partition functions and the $r$-log-concavity of quasi-polynomial-like functions — Krystian Gajdzica · Acta Arithmetica (2024) | TGRS Research Map | TGRS