Positive Limit-Fourier Transform of Farey Fractions
Number Theory
2014-01-21 v3
Abstract
We consider the entity of modified Farey fractions via a function F defined on the direct sum of Z/2Z and we prove that -F has a non negative Limit-Fourier transform up to one exceptional coefficient.
Cite
@article{arxiv.1310.2709,
title = {Positive Limit-Fourier Transform of Farey Fractions},
author = {Johannes Singer},
journal= {arXiv preprint arXiv:1310.2709},
year = {2014}
}