Quantitative analysis of the Satake parameters of $\mathrm {GL}_2$ representations with prescribed local representations
Volume 164 / 2014
Acta Arithmetica 164 (2014), 355-379
MSC: Primary 11F70; Secondary 11F72, 22E55.
DOI: 10.4064/aa164-4-3
Abstract
We investigate the vertical version of the Sato–Tate conjecture for some $\operatorname {GL}_2$ automorphic representations over totally real fields with specified local components at a finite set of finite places.
