Classical and adelic automorphic forms
نویسنده
چکیده
That interesting new L functions with Euler products arise in the classical theory of modular forms is in some sense an accident, and even a bit deceptive. For algebraic number fields other than Q the relationship between classical forms and L functions is more complicated. It ought to be no surprise to anyone familiar with John Tate’s thesis that the correct groups with which to do automorphic forms are adele groups. In this essay I’ll explain roughly how the transition from classical to adelic takes place.
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