Jiseong Kim

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20202022

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math.DS2022

Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights

Jiseong Kim

In this paper, we prove that the Hecke eigenvalue square for a holomorphic cusp form and the Piltz divisor functions are good weighting functions for the pointwise ergodic theorem.…

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 $S L (3, Z)$ Hecke-Maass $L$ -Functions by short Dirichlet polynomials

Jiseong Kim

We study averages of $L$ -functions associated with Hecke-Maass cusp forms for $S L (3, Z)$ , multiplied by Dirichlet polynomials built from the Fourier coefficients of the cus…

Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights

On the Rankin-Selberg problem in families

Approximations of SL(3,Z) Hecke-Maass L-Functions by short Dirichlet polynomials

Approximations of $S L (3, Z)$ Hecke-Maass $L$ -Functions by short Dirichlet polynomials