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math.CO2025
On Log-Concave Operator Acting on Sequences and Series
Piero Giacomelli
In this paper, we investigate the properties of sequences and series under the action of the log-concave operator \(\mathcal{L}\). We explore the relationship between the convergen…
math.NT2025
Ducci Matrices in -adic Context
Piero Giacomelli
In this paper, we mutuate the concept of Ducci matrices to the -adic setting, generalizing the classical Ducci sequences to the framework of -adic numbers. The classical Ducc…