Brief relatively independent chapters with distinct themes enable quick access and lucidity reaches the forefront of research quickly and gives guide to literature six short chapters on automorphic forms and l functions treats the period conjectures of shimura and the moment conjecture. Six short chapters on automorphic forms and l functions treats the period conjectures of shimura and the moment conjecture these conjectures are of central importance in contemporary number theory but have hitherto remained little discussed in expository form. In this chapter we introduce various notions connected to periods of automorphic forms all of these have received extensive treatment in shimuras work the period conjectures of shimura occupy a central position in number theory today and will be discussed in more detail in chapter 3 and chapter 6. Automorphic forms l functions and number theory march 12 16 three introductory lectures chapter 1 elementary theory of l functions i 11 introduction in this first lecture we will define and describe in a roughly chronological order from the time of euler to that of hecke some interesting classes of holomorphic functions with strange. The twenty fifth ams summer research institute was devoted to automorphic forms representations and l functions it was held at oregon state university corvallis from july 11 to august 5 1977 and was financed by a grant from the national science foundation the organizing committee consisted of a borel
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