S. Mattarei

activity

20052026

most citedThin loop algebras of Albert-Zassenhaus algebras

14 citations · 69 across the 33 of their papers we have counts for

collaborators

41 papers

math.RA2026

Classification of Nottingham algebras

M. Avitabile, A. Caranti, S. Mattarei

The graded Lie algebra associated with the Nottingham group over a field of prime characteristic serves as a fundamental example of Nottingham algebras, a class of infinite-dimensi…

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.NT2022

Congruences for partial sums of the generating series for $(k 3 k)$

Sandro Mattarei, Roberto Tauraso

We produce congruences modulo a prime $p > 3$ for sums $\sum_{k} (k 3 k) x^{k}$ over ranges $0 \leq k < q$ and $0 \leq k < q /3$ , where $q$ is a power of $p$ . Here $x$ equals either $c^2/(1-c…

math.NT2021

Irreducible polynomials from a cubic transformation

Sandro Mattarei, Marco Pizzato

Let $R (x) = g (x) / h (x)$ be a rational expression of degree three over the finite field $F_{q}$ . We count the irreducible polynomials in $F_{q} [x]$ , of a given degree, wh…

math.RA2021

The earliest diamond of finite type in Nottingham algebras

Marina Avitabile, Sandro Mattarei

We prove several structural results on Nottingham algebras, a class of infinite-dimensional, modular, graded Lie algebras, which includes the graded Lie algebra associated to the N…

Classification of Nottingham algebras

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

The Artin-Hasse series and Laguerre polynomials modulo a prime

Congruences for partial sums of the generating series for (k3k​)

Irreducible polynomials from a cubic transformation

The earliest diamond of finite type in Nottingham algebras

Congruences for partial sums of the generating series for $(k 3 k)$