On certain bilinear sums with modular square roots and applications
Number Theory
2026-01-29 v3
Abstract
We extend bounds on additive energies of modular square roots by Dunn, Kerr, Shparlinski, Shkredov and Zaharescu and apply these results to obtain bounds on certain bilinear exponential sums with modular square roots. From here, we make partial progress on the large sieve for square moduli.
Keywords
Cite
@article{arxiv.2601.15448,
title = {On certain bilinear sums with modular square roots and applications},
author = {Stephan Baier},
journal= {arXiv preprint arXiv:2601.15448},
year = {2026}
}
Comments
26 pages