Mock characters and the Kronecker symbol
Number Theory
2017-01-06 v2
Abstract
We introduce and study a family of functions we call the "mock characters". These functions satisfy a number of interesting properties, and of all completely multiplicative arithmetic functions seem to come as close as possible to being Dirichlet characters. Along the way we prove a few new results concerning the behavior of the Kronecker symbol.
Keywords
Cite
@article{arxiv.1608.03957,
title = {Mock characters and the Kronecker symbol},
author = {Jean-Paul Allouche and Leo Goldmakher},
journal= {arXiv preprint arXiv:1608.03957},
year = {2017}
}
Comments
Strengthened Proposition 2.2 from previous version