Langlands program
... conjectures that connect number theory and the representation theory of certain groups. It was proposed ... way: Artin L-functions. The setting of automorphic representations The insight of Langlands was to ... had earlier related Dirichlet L-functions with automorphic forms (holomorphic functions on the upper half ... functional equations). Langlands then generalized these to automorphic cuspidal representations, which are certain infinite dimensional ...
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User:Charles Matthews/Heegner
... Heegner < User:Charles Matthews Abelian scheme - Admissible representation - Approximate functional equation - Arakelov theory - Arithmetic Frobenius ... map - Atkin-Lehner involution - Atkin-Lehner theory - Automorphic cuspform - Baily-Borel compactification - Biquadratic field - Brumer ... scheme - Coinvariant - Conductor ideal - Conductor of an automorphic representation - Conductor of an order - Congruence number problem - Cuspidal representation - Deformation theory - Deuring-Heilbronn phenomenon - ...
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Cusp form
... 1) = 1. In the larger picture of automorphic forms, the cusp forms are complementary to ... discrete spectrum/continuous spectrum, or discrete series representation/induced representation distinction typical in different parts of spectral ... intricate theory of parabolic subgroups, and corresponding cuspidal representations .
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