The large sieve for square moduli in function fields
Number Theory
2021-11-30 v2
Abstract
We prove a lower and an upper bound for the large sieve with square moduli for function fields. These bounds correspond to bounds for the classical large sieve with square moduli established in arXiv:1812.05844 by Baier, Lynch and Zhao and arXiv:math/0512271 by Baier and Zhao. Our lower bound in the function field setting contradicts an upper bound obtained in arXiv:1802.03131 by Baier and Singh. Indeed, we point out an error in arXiv:1802.03131.
Cite
@article{arxiv.1910.05043,
title = {The large sieve for square moduli in function fields},
author = {Stephan Baier and Rajneesh Kumar Singh},
journal= {arXiv preprint arXiv:1910.05043},
year = {2021}
}
Comments
42 pages