Ariel Weiss

most citedOn the Lang--Trotter conjecture for Siegel modular forms

1 citations · 1 across the 1 of their papers we have counts for

collaborators

4 papers

math.NT2026★ 1 cited

On the Lang--Trotter conjecture for Siegel modular forms

Arvind Kumar, Moni Kumari, Ariel Weiss

Let $f$ be a genus two cuspidal Siegel modular eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated to $f$ , generalising…

math.NT2026

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

Lian Duan, Xiyuan Wang, Ariel Weiss

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

math.NT2026

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.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'…

On the Lang--Trotter conjecture for Siegel modular forms

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

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

Distinguishing Siegel modular forms

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