Titlebook: Automorphic Forms; Anton Deitmar Textbook 2012 Springer-Verlag London 2012 Tate‘s thesis.automorphic L-functions.modular forms.tensor prod

ACME

Adeles and Ideles,modified in order to form a locally compact space. These modified products are discussed at length and in very general terms until they are applied to the situation at hand. This yields the ring of adeles. Its unit group is called the group of ideles. Fourier analysis on both of them is studied in quite explicit terms.

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DAUNT

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,-Adic Numbers, all completions of ?. In this chapter we discuss the notion of absolute values on fields and their completions. We give several useful descriptions of the field ?. of .-adic numbers and compute the additive and multiplicative Haar-measures, which are the equivalents of the Lebesgue measure in the c

吵鬧

Adeles and Ideles,modified in order to form a locally compact space. These modified products are discussed at length and in very general terms until they are applied to the situation at hand. This yields the ring of adeles. Its unit group is called the group of ideles. Fourier analysis on both of them is studied in q

Gourmet

Automorphic Representations of ,, interpret a modular form as a vector in a representation space of the adelic GL(2). We then need to show that any irreducible representation of the adelic GL(2) is a tensor product of local irreducible representations, which is known as the Tensor Product Theorem and generalizes the diagonalization

HPA533

moratorium