Meaning of absolute constant

In my analytic number theory course, we discussed Dirichlet Series of Dirichlet Characters. A question I was asked was to show that:

If $$\chi_1, \chi_2$$ are two Dirichlet Characters of modulo $$q_1, q_2$$ respectively such that $$\chi_1\chi_2 \not \equiv 1$$, then:

$$L(s,\chi_1)L(s, \chi_2)$$ has at most one real zero, $$\beta$$ such that $$1 > \beta > 1 - \frac{c}{log(q_1q_2)}$$, where $$c>0$$ is some absolute constant.

What does "absolute" mean here? Does it mean that this $$c$$ applies for all Dirichlet Characters of all moduli, provided their product isn't identically $$1$$? Does it mean that it only works specifically for the moduli $$q_1, q_2$$ but that it'll work for any of the Dirichlet Characters modulo $$q_1, q_2$$ such that the product is not identically $$1$$?

• It means that this $c$ applies for all Dirichlet Characters of all moduli, provided their product isn't identically $1$; in particular, if you have an exceptional zero for one modulus $q$ ($\beta > 1-\frac{b}{\log q}$, $b$ small absolute constant), the next exceptional zero $\beta_1$ cannot appear until a modulus $q_1$ which is considerably bigger than $q$, so the original $\beta > 1-\frac{b}{\log q}$ satisfies also $\beta \le 1-\frac{c}{\log {(qq_1)}}$ hence if you calibrate $b,c$ you get various estimates for how big $q_1$ must be w.r. to $q$ – Conrad Apr 22 at 21:24