This ebook has grown out of a process lectures i've got given on the Eidgenossische Technische Hochschule, Zurich. Notes of these lectures, ready for the main half through assistants, have seemed in German. This publication follows an analogous normal plan as these notes, even though widespread, and in textual content (for example, Chapters III, V, VIII), and in realization to aspect, it is very diversified. Its goal is to introduce the non-specialist to a few of the elemental ends up in the idea of numbers, to teach how analytical equipment of facts healthy into the speculation, and to organize the floor for a next inquiry into deeper questions. it really is pub lished during this sequence as a result curiosity evinced by means of Professor Beno Eckmann. i must recognize my indebtedness to Professor Carl Ludwig Siegel, who has learn the ebook, either in manuscript and in print, and made a couple of priceless criticisms and recommendations. Professor Raghavan Narasimhan has helped me, many times, with illuminating reviews. Dr. Harold Diamond has learn the proofs, and helped me to take away obscurities. i need to thank all of them. K.C.
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