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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…
math.NT2021
-adic Ducci Sequences: a short note
Piero Giacomelli
In this short note we formalized the definition for the Ducci operator in the context of the -adic field as a natural extension of the classical one. Moreover…
math.NT2011
Log-concavity of Lucas Sequences of first kind
Piero Giacomelli
In these notes we address the study of the log-concave operator acting on Lucas Sequences of first kind. We will find for which initial values a generic Lucas sequence is log-conca…