@article{Hou2023, 
author = {Fei Hou},
title = {On the exponential sums estimates related to Fourier coefficients of    G      L    3   Hecke-Maaß forms},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {4},
pages = {7806-7816},
keywords = {Maaß forms, exponential sums, Fourier coefficients},
url = {https://www.sciopen.com/article/10.3934/math.2023392},
doi = {10.3934/math.2023392},
abstract = {Let    F be a normlized Hecke-Maaß form for the congruent subgroup        Γ    0    (  N  ) with trivial nebentypus. In this paper, we study the problem of the level aspect estimates for the exponential sum               L        F    (  α  )  =      ∑          n      ≤      X            A    F    (  n  ,  1  )  e  (  n  α  )  .As a result, we present an explicit non-trivial bound for the sum              L        F    (  α  ) in the case of    N  =  P. In addition, we investigate the magnitude for the non-linear exponential sums with the level being explicitly determined from the sup-norm's point of view as well.}
}