We consider statistical properties of Hecke eigenvalues for fixed as runs through a basis of Hecke–Maaß cusp forms for the group . We show that almost all of them satisfy the Ramanujan conjecture at and that their distribution is governed by the Sato–Tate law.
Cite this article
Valentin Blomer, Jack Buttcane, Nicole Raulf, A Sato–Tate law for GL (3). Comment. Math. Helv. 89 (2014), no. 4, pp. 895–919