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arXiv · 2607.11568

Submultiplicative Polynomials in Combinatorics

Krystian Gajdzica·Bernhard Heim·Markus Neuhauser·Błażej Żmija
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Abstract

For normalized sequences $\left(g(n)\right)_{n\in\mathbb{N}}$ we consider recursively defined polynomials $P_n^g(x)$. In this paper we study their submultiplicative property, viewed as a Bessenrodt--Ono type inequality for the partition function, and provide an effective criterion for establishing it.

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Krystian Gajdzica, Bernhard Heim, Markus Neuhauser, Błażej Żmija. 2026-07-13. Submultiplicative Polynomials in Combinatorics. https://arxiv.org/abs/2607.11568

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