M. Avitabile

activity

20052023

most citedThin loop algebras of Albert-Zassenhaus algebras

14 citations · 18 across the 10 of their papers we have counts for

collaborators

Showing 2018 · math.NTShow all

2 papers · 2 filters

math.NT2018★ 1 cited

Generalized finite polylogarithms

Marina Avitabile, Sandro Mattarei

We introduce a generalization $£_{d}^{(α)} (X)$ of the finite polylogarithms $£_{d}^{(0)} (X) = £_{d} (X) = \sum_{k = 1}^{p - 1} X^{k} / k^{d}$ , in characteristic $p$ , which depends on a parameter $α$ …

math.NT2018

A generalized truncated logarithm

Marina Avitabile, Sandro Mattarei

We introduce a generalization $G^{(α)} (X)$ of the truncated logarithm $L_{1} (X) = \sum_{k = 1}^{p - 1} X^{k} / k$ in characteristic $p$ , which depends on a parameter $α$ . The main m…