Matteo Longo

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20242026

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math.NT2025

Quaternionic families of Heegner points and $p$ -adic $L$ -functions

Matteo Longo, Paola Magrone, Eris Rocha Walchek

Following up a previous article of the authors which studies the interpolation of certain anticyclotomic $p$ -adic $L$ -functions associated to quaternionic modular forms in a Hida f…

math.NT2025

On quaternionic ordinary families of modular forms and $p$ -adic $L$ -functions

Matteo Longo, Paola Magrone, Eris Rocha Walchek

We use Serre--Tate expansions of modular forms to construct power series attached to quaternionic ordinary families of modular forms. We associate to these power series a big $p$ -a…

Quaternionic families of Heegner points and p-adic L-functions

On quaternionic ordinary families of modular forms and p-adic L-functions

Quaternionic families of Heegner points and $p$ -adic $L$ -functions

On quaternionic ordinary families of modular forms and $p$ -adic $L$ -functions