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math.NT2017
Shifted convolution sums involving theta series
Qingfeng Sun
Let be a cuspidal newform (holomorphic or Maass) of arbitrary level and nebentypus and denote by its -th Hecke eigenvalue. Let $$ r(n)=\#\left\{(n_1,n_2)\in \mathbb…
math.NT2017
Hybrid bounds for twists of -functions
Qingfeng Sun
Let be a Hecke-Maass cusp form for and a Dirichlet character with primitive modulo . Suppose that , are primes such that $\m…