Fundamental Domains and the Riemann Hypothesis
Dorin Ghisa
Broschiertes Buch

Fundamental Domains and the Riemann Hypothesis

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This book gathers together recent advances in geometric function theory, which made possible the proof of the Riemann Hypothesis. These advances have at their core the concept of fundamental domains, which originated in the theory of automorphic functions. Lars V. Ahlfors gave a broader meaning to this concept and emphasized its importance in the study of Riemann surfaces. The results of applying it to Blaschke products are remarkable and point to a natural extension of the concept of automorphic function. New and interesting facts are proved about arbitrary rational functions and in particula...