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arXiv · 1608.03957

Mock characters and the Kronecker symbol

Jean-Paul Allouche·Leo Goldmakher
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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.

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Jean-Paul Allouche, Leo Goldmakher. 2016-08-13. Mock characters and the Kronecker symbol. https://arxiv.org/abs/1608.03957

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