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

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math.NT2023

On some coefficients of the Artin-Hasse series modulo a prime

Marina Avitabile, Sandro Mattarei

Let $p$ be an odd prime, and let $\sum_{n = 0}^{\infty} a_{n} X^{n} \in F_{p} [[X]]$ be the reduction modulo $p$ of the Artin-Hasse exponential. We obtain a polynomial expression…

math.NT2023

The Artin-Hasse series and Laguerre polynomials modulo a prime

Marina Avitabile, Sandro Mattarei

For an odd prime $p$ , let $E_{p} (X) = \sum_{n = 0}^{\infty} a_{n} X^{n} \in F_{p} [[X]]$ denote the reduction modulo $p$ of the Artin-Hasse exponential series. It is known…

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…