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math.NT2025
On anticyclotomic Selmer groups of elliptic curves
Matteo Longo, Jishnu Ray, Stefano Vigni
Let be a prime number and let be an imaginary quadratic field where is unramified. Under mild technical assumptions, in this paper we prove the non-existence of no…
math.NT2025
A generalized Rubin formula for Hecke characters
Matteo Longo, Stefano Vigni, Shilun Wang
The goal of this paper is to generalize Rubin's theorem on values of Katz's -adic -function outside the range of interpolation from the case of Hecke characters of CM ellipti…