Exponential sums with coefficients of certain Dirichlet series

Details Exponential sums with coefficients of certain Dirichlet series Exponential sums with coefficients of certain Dirichlet series

2011-08-12

arxiv.org/abs/1108.2715v2

Mathematics

Number Theory

13 pages

Scientific paper

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.

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