Mock characters and the Kronecker symbol
| Autor: | Allouche, Jean-Paul, Goldmakher, Leo |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: Strengthened Proposition 2.2 from previous version |
| Databáze: | arXiv |
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