Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights
Location
Room 321, Hume Hall
Start Date
27-4-2024 10:00 AM
End Date
27-4-2024 11:00 AM
Description
In this work, 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. This partially solves problems suggested by Cuny and Weber. Additionally, we prove similar results for various other arithmetical functions.
Relational Format
conference proceeding
Recommended Citation
Kim, Jiseong and Longla, Martial, "Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights" (2024). AMS-AWM Student Research Symposium. 5.
https://egrove.olemiss.edu/ams_awm_sympo/2024/schedule/5
Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights
Room 321, Hume Hall
In this work, 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. This partially solves problems suggested by Cuny and Weber. Additionally, we prove similar results for various other arithmetical functions.
Comments
poster