Tag Archives: functional equations

Functional Equations for L-Functions arising from Modular Forms

In this note, I remind myself of the functional equations for the $latex {L}$-functions $latex {\displaystyle \sum_{n\geq 0} \frac{a(n)}{n^s}}$ and $latex {\displaystyle \sum_{n\geq 0} \frac{a(n)}{n^s}e(\frac{n\overline{r}}{c})}$, where $latex {\overline{r}}$ is the multiplicative inverse of $latex {r \bmod c}$.

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