A map of Ramanujan expansions
Number Theory
2018-12-11 v2
Abstract
A map is a panorama in small scale. In this half-survey, half-research paper we give general results on Ramanujan expansions. We don't include the ocean of results from the literature on the two classes (see Schwarz-Spilker Book, also Lucht's survey for these) of additive and multiplicative functions while we include, say, the two new (not simply connected) lands of finite Ramanujan expansions (see my paper, with Murty & Saha) and of shift-Ramanujan expansions (see my subsequent paper, with Murty) .
Keywords
Cite
@article{arxiv.1712.02970,
title = {A map of Ramanujan expansions},
author = {Giovanni Coppola},
journal= {arXiv preprint arXiv:1712.02970},
year = {2018}
}
Comments
A necessary improvement of our exposition is performed