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

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16 papers · 1 filter

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.NT2021

Cubic rational expressions over a finite field

Sandro Mattarei, Marco Pizzato

We study and partially classify cubic rational expressions $g (x) / h (x)$ over a finite field $F_{q}$ , up to pre- and post-composition with independent Möbius transformations.…

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 $α$ …

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

Cubic rational expressions over a finite field

Generalized finite polylogarithms

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