Omega Results for The Divisor and Circle Problems Using The Resonance Method
Number Theory
2025-09-04 v2
Abstract
We apply the resonance method to obtain large values of general exponential sums with positive coefficients. As applications, we show improved -bounds for Dirichlet and Piltz divisor problems, Gauss circle Problem, and error term for the mean square of the Riemann zeta function and the Dirichlet -function.
Cite
@article{arxiv.2504.17032,
title = {Omega Results for The Divisor and Circle Problems Using The Resonance Method},
author = {Kamalakshya Mahatab},
journal= {arXiv preprint arXiv:2504.17032},
year = {2025}
}
Comments
17 pages