Exponential sums with coefficients of certain Dirichlet series

Stephan Baier

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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.
Original languageEnglish
Pages (from-to)127-143
Number of pages17
JournalMonatshefte für Mathematik
Issue number2
Early online date23 Dec 2011
Publication statusPublished - Feb 2013


  • Exponential sums
  • Dirichlet series
  • Hecke eigenvalues
  • Piatetski–Shapiro primes

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