Ariel Weiss

collaborators

3 papers

math.NT2025

Distinguishing Siegel modular forms

Arvind Kumar, Ariel Weiss

Let $f$ and $f^{'}$ be genus $2$ cuspidal Siegel paramodular newforms. We prove that if their Hecke eigenvalues $a_{p}$ and $a_{p}^{'}$ satisfy a non-trivial polynomial relation $P(a_p, a_p'…

math.NT2024

Polylogarithmic motivic Chabauty-Kim for $P^{1} ∖ {0, 1, \infty}$ : the geometric step via resultants

David Jarossay, David T. -B. G. Lilienfeldt, Francesco Maria Saettone +2

Given a finite set $S$ of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for $P^{1} ∖ {0, 1, \infty}$ using resul…

math.NT2024

Five-dimensional compatible systems and the Tate conjecture for elliptic surfaces

Lian Duan, Xiyuan Wang, Ariel Weiss

Let $(ρ_{λ} : G_{Q} \to GL_{5} (E_{λ}))_{λ}$ be a strictly compatible system of Galois representations such that no Hodge--Tate weight has multiplicity…

Distinguishing Siegel modular forms

Polylogarithmic motivic Chabauty-Kim for P1∖{0,1,∞}: the geometric step via resultants

Five-dimensional compatible systems and the Tate conjecture for elliptic surfaces

Polylogarithmic motivic Chabauty-Kim for $P^{1} ∖ {0, 1, \infty}$ : the geometric step via resultants