We investigate the vertical version of the Sato-Tate conjecture for some GL₂ automorphic representations over totally real fields with specified local components at a finite set of finite places.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-4-3,
author = {Yuk-Kam Lau and Charles Li and Yingnan Wang},
title = {Quantitative analysis of the Satake parameters of GL2 representations with prescribed local representations},
journal = {Acta Arithmetica},
volume = {166},
year = {2014},
pages = {355-379},
zbl = {1317.11052},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-4-3}
}
Yuk-Kam Lau; Charles Li; Yingnan Wang. Quantitative analysis of the Satake parameters of GL₂ representations with prescribed local representations. Acta Arithmetica, Tome 166 (2014) pp. 355-379. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa164-4-3/