Let $N$ be fixed. I would like to estimate the number of primitive characters $\chi_1$ modulo $q_1$ and $\chi_2$ modulo $q_2$ such that $$q_1q_2 \mid N$$
How can I tackle this?
2026-03-29 20:44:38.1774817078
Counting characters $\bmod q$ under some divisibility conditions
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