Ryotaro Sakamoto

collaborators

4 papers

math.NT2026

Classifications of Hecke Fields and Galois Images of Weight One Exotic Newforms

Ryotaro Sakamoto, Sho Yoshikawa

We determine the Hecke fields associated with weight one newforms of $A_{4}$ -, $S_{4}$ -, and $A_{5}$ -type, expressed in terms of the order of its nebentypus. Furthermore, for each type,…

math.NT2025

Wall-crossing and $p$ -adic Artin formalism for $GSp_{4} \times GL_{2} \times GL_{2}$

KÃ¢zÄ±m BÃ¼yÃ¼kboduk, Ãscar Rivero, Ryotaro Sakamoto

The goal of this article is to develop a $p$ -adic Artin formalism in the context of $p$ -adic families of automorphic forms on $GSp_{4} \times GL_{2} \times GL_{2}$ . Our…

math.NT2025

On the Artin formalism for triple product $p$ -adic $L$ -functions: Super-factorization

KÃ¢zÄ±m BÃ¼yÃ¼kboduk, Daniele Casazza

We prove the factorization conjecture for triple-product $p$ -adic $L$ -functions formulated in a companion article in the special case when two of the (three) factors have complex m…

math.NT2025

On the Artin formalism for triple product $p$ -adic $L$ -functions

KÃ¢zÄ±m BÃ¼yÃ¼kboduk, Ryotaro Sakamoto

Our main objective in the present article is to study the factorisation problem for triple-product $p$ -adic $L$ -functions, particularly in the scenarios when the defining propertie…

Classifications of Hecke Fields and Galois Images of Weight One Exotic Newforms

Wall-crossing and p-adic Artin formalism for GSp4​×GL2​×GL2​

On the Artin formalism for triple product p-adic L-functions: Super-factorization

On the Artin formalism for triple product p-adic L-functions

Wall-crossing and $p$ -adic Artin formalism for $GSp_{4} \times GL_{2} \times GL_{2}$

On the Artin formalism for triple product $p$ -adic $L$ -functions: Super-factorization

On the Artin formalism for triple product $p$ -adic $L$ -functions