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arxiv: 1108.2715 · v2 · pith:JMDZIJB6new · submitted 2011-08-12 · 🧮 math.NT

Exponential sums with coefficients of certain Dirichlet series

classification 🧮 math.NT
keywords certaincoefficientsdirichletexponentialseriessumsbelongingbound
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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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