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math.NT2020★ 1 cited
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…
math.NT2020
Additive Representations of Natural Numbers
Forrest J. Francis, Ethan S. Lee
Every natural number greater than two may be written as the sum of a prime and a square-free number. We establish several generalisations of this, by placing divisibility condition…