2 papers
math.NT2025
Periods of modular forms and applications to the conjectures of Oda and of Prasanna-Venkatesh
Xavier Guitart, Santiago Molina
We establish several formulas relating periods of modular forms on quaternion algebras over number fields to special values of L-functions. Our main inputs are the cohomological te…
math.NT2020
Extremal p-adic L-functions
Santiago Molina Blanco
In this note we propose a new construction of cyclotomic p-adic L-functions attached to classical modular cuspidal eigenforms. This allows us to cover most known cases to date and…