A reformulated strong multiplicity one theorem
Volume 225 / 2026
Acta Arithmetica 225 (2026), 89-100
MSC: Primary 11F55; Secondary 11F67
DOI: 10.4064/aa260117-25-5
Published online: 3 July 2026
Abstract
We present a reformulated strong multiplicity one result for automorphic representations of ${\rm GL}_{n}$. We also prove a reformulated strong multiplicity one theorem with a certain density condition for ${\rm GL}_{2}$. Finally, we apply the first of these theorems to study the linear independence of central values of Rankin–Selberg convolutions on ${\rm GL}_{2}$.
