2025/03/19 by Giacomelli, Piero
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)
paper · doi:10.48550/arxiv.2503.15425
In this paper, we investigate the properties of sequences and series under the action of the log-concave operator \(L\). We explore the relationship between the convergence of a sequence \((ak)\) and the convergence of sequences and series derived by applying \(L\) iteratively. These results demonstrate the strong regularity properties of log-concave sequences and provide a framework for analyzing the convergence of sequences and series derived from the log-concave operator. The findings have implications for combinatorics, probability, optimization, and related fields, opening new avenues for further research on the behavior of log-concave sequences and their associated operators.