I. Longhi

collaborators

3 papers

math.NT2026

Procounting measures and the Bateman--Horn conjecture

Luca Demangos, Ignazio Longhi, Francesco Maria Saettone

Let $D$ be the ring of $S$ -integers in a global field and $\da$ its profinite completion. We propose a profinite version of the Bateman--Horn conjecture over $D$ and provide a firs…

math.NT2025

The algebra $Z_{ℓ} [[Z_{p}^{d}]]$ and applications to Iwasawa theory

Andrea Bandini, Ignazio Longhi

Let $ℓ$ and $p$ be distinct primes, and let $\G$ be an abelian pro- $p$ -group. We study the structure of the algebra $Å:=\Z_\ell[[\G]]$ and of $A ˚ $ -modules. The algebra $A ˚ $ tur…

math.NT2025

Heights and transcendence of $p$ --adic continued fractions

Ignazio Longhi, Nadir Murru, Francesco Maria Saettone

Special kinds of continued fractions have been proved to converge to transcendental real numbers by means of the celebrated Subspace Theorem. In this paper we study the analogous $…

Procounting measures and the Bateman--Horn conjecture

The algebra Zℓ​[[Zpd​]] and applications to Iwasawa theory

Heights and transcendence of p--adic continued fractions

The algebra $Z_{ℓ} [[Z_{p}^{d}]]$ and applications to Iwasawa theory

Heights and transcendence of $p$ --adic continued fractions