A. Bandini

activity

20062025

most citedTorsion points on elliptic curves over function fields and a theorem of Igusa

19 citations · 34 across the 14 of their papers we have counts for

collaborators

20 papers

math.NT2025

Drinfeld Quasi-Modular Forms of Higher Level

Andrea Bandini, Maria Valentino, Sjoerd de Vries

We study the structure of the vector space of Drinfeld quasi-modular forms for congruence subgroups. We provide representations as polynomials in the false Eisenstein series with c…

math.NT2023

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 $Ł:=\Z_\ell[[\G]]$ and of $Ł$ -modules. The algebra $Ł$ turns…

math.NT2021

Stickelberger series and Main Conjecture for function fields

Andrea Bandini, Edoardo Coscelli

Let F be a global function field of characteristic p with ring of integers A and let Φbe a Hayes module on the Hilbert class field H(A) of F. We prove an Iwasawa Main Conjecture fo…

math.NT2019

On Drinfeld cusp forms of prime level

Andrea Bandini, Maria Valentino

Let $(P_{d})$ be any prime of $F_{q} [t]$ of degree $d$ and consider the space of Drinfeld cusp forms of level $P_{d}$ , i.e. for the modular group $Γ_{0} (P_{d})$ . We provide a defini…

math.NT2018★ 7 cited

On the structure and slopes of Drinfeld cusp forms

Andrea Bandini, Maria Valentino

We define oldforms and newforms for Drinfeld cusp forms of level $t$ and conjecture that their direct sum is the whole space of cusp forms. Moreover we describe explicitly the matr…

math.NT2018

Fitting ideals of Class groups in Carlitz-Hayes cyclotomic extensions

Andrea Bandini, Francesc Bars, Edoardo Coscelli

We generalize some results of Greither and Popescu to a geometric Galois cover $X \to Y$ which appears naturally for example in extensions generated by $p^{n}$ -tors…