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arXiv:1108.2715 [math.NT]AbstractReferencesReviewsResources

Exponential sums with coefficients of certain Dirichlet series

Stephan Baier

Published 2011-08-12, updated 2011-09-12Version 2

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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