Automorphic Number Theory

Abstract

I shall emphasize the role of automorphic forms in harmonic analysis because they are indispensable in analytic number theory, which is my primary subject of interest. A lot has been presented to the general forum about modular forms in algebraic number theory, in particular after resolution of the Fermat last theorem [W], [BCDT]. Therefore I shall limit my venture to the topics which help to grasp the essence of modularity in number theory as a whole.