Abstract
Under the generalized Lindelöf 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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This work was supported by an ERC grant 258713.
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Communicated by J. Schoißengeier.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Baier, S. Exponential sums with coefficients of certain Dirichlet series. Monatsh Math 169, 127–143 (2013). https://doi.org/10.1007/s00605-011-0372-7
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DOI: https://doi.org/10.1007/s00605-011-0372-7