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math.NT2025
Tree asymptotic densities in number theory
Roberto Conti, Pierluigi Contucci, Vitalii Iudelevich
We study the asymptotic distribution of integers sharing the same rooted-tree structure that encodes their complete prime factorization tower. For each tree we derive an explicit d…
math.OA2025
Spectral Theory for Non-full Commutative C*-categories
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul +1
We extend the spectral theory of commutative C*-categories to the non full-case, introducing a suitable notion of spectral spaceoid provinding a duality between a category of "non-…