A Generalized Davenport Expansion
Number Theory
2021-10-26 v2
Abstract
We prove a new generalization of Davenport's Fourier expansion of the infinite series involving the fractional part function over arithmetic functions. A new Mellin transform related to the Riemann zeta function is also established.
Cite
@article{arxiv.2005.08279,
title = {A Generalized Davenport Expansion},
author = {Alexander E Patkowski},
journal= {arXiv preprint arXiv:2005.08279},
year = {2021}
}
Comments
Corrected the first version