Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224094 | Journal of Number Theory | 2018 | 17 Pages |
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 behaviour of the Kronecker symbol.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jean-Paul Allouche, Leo Goldmakher,