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math.NT2022
Additive divisor problem for multiplicative functions
Yujiao Jiang, Guangshi Lü
Let denote the divisor function, and be any multiplicative function that satisfies some mild hypotheses. We establish the asymptotic formula or non-trivial upper bound for…
math.NT2022
Correlations of multiplicative functions with automorphic L-functions
Yujiao Jiang, Guangshi Lü
Let be the Fourier coefficients of a Hecke holomorphic or Hecke--Maass cusp form on , and be any multiplicative function that satisfies two mild…