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I'm looking for a reference and/or table for double summations. The sum I'm trying to compute is
\sum_{k=1}^\infty \sum_{m=1}^\infty \frac{1}{km(ak^2+bm^2)}$$\sum_{k=1}^\infty \sum_{m=1}^\infty \frac{1}{km(ak^2+bm^2)}$$ for real numbers a$a$,b $b$.
\sum_{k=1}^\infty \sum_{m=1}^\infty \frac{1}{km(ak^2+bm^2)} for real numbers a,b
$$\sum_{k=1}^\infty \sum_{m=1}^\infty \frac{1}{km(ak^2+bm^2)}$$ for real numbers $a$, $b$.