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Exponential sums with the Dirichlet coefficients of Rankin–Selberg L-functions

  • Guangshi Lü,
  • Qiang Ma

摘要

We describe a new method to obtain upper bounds for exponential sums with multiplicative coefficients without the Ramanujan conjecture. We verify these hypothesis for (with mild restrictions) the Rankin–Selberg L-functions attached to two cuspidal automorphic representations.