Exponential sums with coefficients of certain Dirichlet series
Number Theory
2011-09-13 v2
Abstract
Under the generalized Lindel\"of Hypothesis in the t- and q-aspects, we bound exponential sums with coefficients of Dirichlet series belonging to a certain class. We use these estimates to establish a conditional result on squares of Hecke eigenvalues at Piatetski-Shapiro primes.
Keywords
Cite
@article{arxiv.1108.2715,
title = {Exponential sums with coefficients of certain Dirichlet series},
author = {Stephan Baier},
journal= {arXiv preprint arXiv:1108.2715},
year = {2011}
}
Comments
13 pages