Mock characters and the Kronecker symbol
| Autor: | Leo Goldmakher, Jean-Paul Allouche |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Algebra and Number Theory
Mathematics - Number Theory 010102 general mathematics Multiplicative function 010103 numerical & computational mathematics 16. Peace & justice 01 natural sciences Dirichlet distribution Algebra symbols.namesake 11A15 11B85 11N99 68R15 symbols FOS: Mathematics Arithmetic function Kronecker symbol Number Theory (math.NT) 0101 mathematics Mathematics |
| 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. Strengthened Proposition 2.2 from previous version |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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