Counting Automorphic Forms on Norm One Tori

Abstract

We give an asymptotic formula for the number of automorphic forms on the non-split norm one torus $T$ associated with an imaginary quadratic extension of $\mathbb{Q}$, ordered by analytic conductor.

Final version, to appear in Acta Arithmetica

References in corpus (3)

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• The subconvexity problem for $\GL_{2}$
• Counting cusp forms by analytic conductor

Cited by in corpus (1)

• Counting and Equidistribution for Quaternion Algebras