M. Valentino

activity

20122025

most citedOn the structure and slopes of Drinfeld cusp forms

7 citations · 8 across the 8 of their papers we have counts for

collaborators

11 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.NT2020

Atkin-Lehner theory for Drinfeld modular forms and applications

Maria Valentino

The present paper deals with Atkin-Lehner theory for Drinfeld modular forms. We provide an equivalent definition of $p$ -newforms (which makes computations easier) and co…

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.NT2017

On the Atkin $U_{t}$ -operator for $Γ_{0} (t)$ -invariant Drinfeld cusp forms

Andrea Bandini, Maria Valentino

We study the diagonalizability of the Atkin $U_{t}$ -operator acting on Drinfeld cusp forms for $Γ_{0} (t)$ : starting with the slopes of eigenvalues and then moving to the space of cusp…

math.NT2017

On the Atkin $U_{t}$ -operator for $Γ_{1} (t)$ -invariant Drinfeld cusp forms

Andrea Bandini, Maria Valentino

We study the diagonalizability of the Atkin $U_{t}$ -operator acting on Drinfeld cusp forms for $Γ_{1} (t)$ and $Γ (t)$ using Teitelbaum's interpretation as harmonic cocycles. For small w…

math.NT2017

Euler characteristic and Akashi series for Selmer groups over global function fields

Andrea Bandini, Maria Valentino

Let $A$ be an abelian variety defined over a global function field $F$ of positive characteristic $p$ and let $K / F$ be a $p$ -adic Lie extension with Galois group $G$ . We provide a…

math.NT2017

On the diagonalizability of the Atkin U-operator for Drinfeld cusp forms

Andrea Bandini, Maria Valentino

We study the diagonalizability of the Atkin $U$ -operator acting on Drinfeld cusp forms for $Γ_{1} (t)$ and $Γ (t)$ using Teitelbaum's interpretation as harmonic cocycles. We prove $U$ …

math.NT2015

On Euler characteristics of Selmer groups for abelian varieties over global function fields

Maria Valentino

Let $F$ be a global function field of characteristic $p > 0$ , $K / F$ an $ℓ$ -adic Lie extension ( $ℓ \neq = p$ ) and $A / F$ an abelian variety. We provide Euler characteristic formulas…

math.NT2013

On Selmer groups of abelian varieties over $ℓ$ -adic Lie extensions of global function fields

Andrea Bandini, Maria Valentino

Let $F$ be a global function field of characteristic $p > 0$ and $A / F$ an abelian variety. Let $K / F$ be an $ł$ -adic Lie extension ( $ł \neq = p$ ) unramified outside a finite set of prime…

math.NT2012★ 1 cited

Control Theorems for l-adic Lie extensions of global function fields

Andrea Bandini, Maria Valentino

Let F be a global function field of characteristic p>0, K/F an l-adic Lie extension unramified outside a finite set of places S and A/F an abelian variety without complex multiplic…

Drinfeld Quasi-Modular Forms of Higher Level

Atkin-Lehner theory for Drinfeld modular forms and applications

On Drinfeld cusp forms of prime level

On the structure and slopes of Drinfeld cusp forms

On the Atkin Ut​-operator for Γ0​(t)-invariant Drinfeld cusp forms

On the Atkin Ut​-operator for Γ1​(t)-invariant Drinfeld cusp forms

Euler characteristic and Akashi series for Selmer groups over global function fields

On the diagonalizability of the Atkin U-operator for Drinfeld cusp forms

On Euler characteristics of Selmer groups for abelian varieties over global function fields

On Selmer groups of abelian varieties over ℓ-adic Lie extensions of global function fields

Control Theorems for l-adic Lie extensions of global function fields

On the Atkin $U_{t}$ -operator for $Γ_{0} (t)$ -invariant Drinfeld cusp forms

On the Atkin $U_{t}$ -operator for $Γ_{1} (t)$ -invariant Drinfeld cusp forms

On Selmer groups of abelian varieties over $ℓ$ -adic Lie extensions of global function fields