Abstract
The chapter discusses a (revised and expanded) version of a lecture delivered at the Los Alamos Workshop on Mathematics in June 1974 under the title A Glimpse into Complex Analysis. It discusses automorphic forms for Schottky groups. Schottky groups stand out, among other Kleinian groups, by a particularly simple algebraic and geometric structure. Every finitely generated free Kleinian group all of which nontrivial elements are loxodromic is a Schottky group. One can always construct standard fundamental regions bounded by analytic curves. There are Schottky groups for which no standard fundamental region, no matter what generators one chooses, is bounded by circles as every finitely generated subgroup of a Schottky group is a Schottky group.
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