Special values of L-functions / von Martin Barič ; Betreuer: Prof. Dr. Fabian Januszewski. Paderborn, 2023
Inhalt
- Preface
- Preliminaries
- Relevant algebraic structures
- Relevant characters
- Additive characters
- Multiplicative quasicharacters
- The local Gauss sum
- Modular character of the local Borel subgroup
- The Weyl Group
- The Iwahori subgroup
- On space decompositions
- On measures
- On conjugations
- Automorphic Representation Theory
- Representations of l-groups
- Hecke algebras
- Non-Archimedean generic representations
- Non-Archimedean unramified representations
- Iwahori-spherical representations
- Evaluation of Whittaker functions
- (g,K)-modules
- Automorphic representations
- Automorphic L-Functions
- Motives
- Complex L-functions attached to motives
- p-adic L-functions attached to motives
- Tensor product of motives
- Modification at p
- p-adic L-function attached to GL(n+1) x GL(n)
- The modified automorphic L-function
- The spherical and parabolic Hecke algebra
- The p-adic distribution
- Local Gauss sums