On Ramanujan smooth expansions for a general arithmetic function
Number Theory
2024-07-30 v1
Abstract
We study in detail the Ramanujan smooth expansions, for arithmetic functions; we start with the most general ones, for which we supply the "local expansions", for arguments with all prime-factors (namely, smooth arguments), that are also square-free; then, we supply general results for interesting subsets of arithmetic functions, regarding both their local and (global) Ramanujan smooth expansions.
Keywords
Cite
@article{arxiv.2407.19759,
title = {On Ramanujan smooth expansions for a general arithmetic function},
author = {Giovanni Coppola},
journal= {arXiv preprint arXiv:2407.19759},
year = {2024}
}
Comments
Plain TeX, 20 pages, plus 1 p.bib