A note on the zeroes of the Fredholm series
Complex Variables
2024-04-09 v2 Number Theory
Abstract
The issue had been raised whether the Fredholm series has infinitely many zeroes in the unit disk. We provide an affirmative answer, proving that in fact every complex number occurs as a value infinitely many times.
Cite
@article{arxiv.2006.11922,
title = {A note on the zeroes of the Fredholm series},
author = {Umberto Zannier and Francesco Veneziano},
journal= {arXiv preprint arXiv:2006.11922},
year = {2024}
}
Comments
By Umberto Zannier, with an appendix by Francesco Veneziano