Counting automorphic forms on norm one tori
Volume 183 / 2018
Acta Arithmetica 183 (2018), 117-143
MSC: Primary 11F55; Secondary 11F12, 11F66.
DOI: 10.4064/aa161214-22-1
Published online: 15 March 2018
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.