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Van Order, Jeanine Marie: Dirichlet twists of GL<sub>n</sub>-automorphic L-functions and hyper-Kloosterman Dirichlet series
Inhalt
Acknowledgements
2. Some background
3. Functional equations
4. Average values
5. Preliminary estimates
6. Calculation of the twisted sum
6.1. Evaluation of hyper-Kloosterman sums
6.2. Reduction to twists by additive characters
6.3. Voronoi summation for additive twists
6.3.1. Functional identities for additive twists
6.3.2. Derivation of formulae
6.4. Some estimates
6.5. Some remarks on hyper-Kloosterman Dirichlet series
7. Hyper-Kloosterman Dirichlet series at large
Bibliography