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math.NT2025
Wall-crossing and -adic Artin formalism for
Kâzım Büyükboduk, Óscar Rivero, Ryotaro Sakamoto
The goal of this article is to develop a -adic Artin formalism in the context of -adic families of automorphic forms on . Our…
math.NT2025
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 -, -, and -type, expressed in terms of the order of its nebentypus. Furthermore, for each type,…
math.NT2025
On the Artin formalism for triple product -adic -functions
Kâzım Büyükboduk, Ryotaro Sakamoto
Our main objective in the present article is to study the factorisation problem for triple-product -adic -functions, particularly in the scenarios when the defining propertie…