Filippo Berta

collaborators

2 papers

math.NT2026

Subconvexity Problem on $GL_{3}$ over number fields: the twist aspect

Filippo Berta

Let $F$ denote a number field and let $q \subset O_{F}$ traverse a sequence of prime ideals with norm $N (q) \to \infty$ and for each $q$ , let $χ\in \w…

math.NT2026

Non-vanishing of central values of L-functions with angular restrictions

Filippo Berta, Svenja zur Verth

We study the angular restrictions for the second moment of toroidal families of $L$ -functions using the general theory of trace functions. With the mollification technique we deduc…

Subconvexity Problem on GL3​ over number fields: the twist aspect

Non-vanishing of central values of L-functions with angular restrictions

Subconvexity Problem on $GL_{3}$ over number fields: the twist aspect