Mean value theorems with smooth numbers
Number Theory
2025-06-30 v1
Abstract
We obtain new mean value theorems for exponential sums with very smooth numbers, which provide a power saving against the trivial bound in region where previous bounds do not apply.
Cite
@article{arxiv.2506.22192,
title = {Mean value theorems with smooth numbers},
author = {F. Majeed and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:2506.22192},
year = {2025}
}