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math.NT2022
On the Rankin-Selberg problem in families
Jiseong Kim
In this paper, we investigate the Rankin-Selberg problem over short intervals in families of holomorphic modular forms and Hecke-Maass cusp forms. Our investigation assumes a Linde…
math.NT2022
Approximations of Hecke-Maass -Functions by short Dirichlet polynomials
Jiseong Kim
We study averages of -functions associated with Hecke-Maass cusp forms for , multiplied by Dirichlet polynomials built from the Fourier coefficients of the cus…