8 citations · 12 across the 15 of their papers we have counts for
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Approximated solution of a differential-difference equation arising in number theory and applications to the linear sieve
Matteo Bordignon
We provide elementary and accurate numerical solutions to the differential-difference equation, which improves an explicit version of the linear sieve given by Nathanson.
Explicit Improvements to the Burgess Bound Via Pólya-Vinogradov
Matteo Bordignon, Forrest Francis
We make explicit a theorem of Fromm and Goldmakher [arXiv:1706.03002], which states that one can improve Burgess' bound for short character sums simply by improving the leading con…
A Pólya--Vinogradov inequality for short character sums
Matteo Bordignon
In this paper we obtain a variation of the Pólya--Vinogradov inequality with the sum restricted to a certain height. Assume to be a primitive character modulo , and $…
Partial Gaussian sums and the Pólya--Vinogradov inequality for primitive characters
Matteo Bordignon
In this paper we obtain a new fully explicit constant for the Pólya-Vinogradov inequality for primitive characters. Given a primitive character modulo , we prove the followi…