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Let $\chi$ be a Dirichlet character with modulus $q$. The Kloosterman sum $K(a,b,\chi)$ is defined by $K(a,b,\chi) = \sum_{r \in (\mathbb{Z}/q\mathbb{Z})^\times} \chi(r)\zeta^{ar+br^{-1}},$

where $\zeta = e^{2\pi i/q}$. This reduces to the Gauss sum if $b=0$.

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• Review status: reviewed
• Last edited by Alina Bucur on 2018-07-04 18:39:08
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