Competition problem — Number theory

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Number theory Difficulty 6.1 National olympiad Prove it

Property III Let $\chi, \chi_{1}, \chi_{2}$ be characters modulo $k$ . If $\chi \chi_{1}=\chi \chi_{2}$ , then $\chi_{1}=\chi_{2}$ .

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.