Automorphic Representations and L-functions
نویسنده
چکیده
• Decomposition by central characters • Square-integrable cuspforms • Smoothness of cuspforms • Eigen-cuspforms and automorphic representation • Dirichlet series versus zeta and L-functions • L-functions defined via local data • Factoring unitary representations of adele groups • Spherical representations and Satake parameters • Local data, L-groups, higher L-functions References and historical notes will be added later, maybe. Many of the statements made here without proof are very difficult to prove! Just because no mention of proof is made it should not be presumed that it's 'just an exercise' !
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