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p-Adic Automorphic Forms on Shimura Varieties O.P wie der Bankrott der BaringsIn the early years of the 1980s, while I was visiting the Institute for Ad vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L function of a given algebraic group G should have a canon ical p adic counterpart of several variables. I immediately decided to find out the reason behind this phenomenon and to develop the theory of ordinary