VOL. 20 | 2019 Fundamental Domains of Dirichlet Functions
Dorin Ghisa

Editor(s) Ivaïlo M. Mladenov, Vladimir Pulov, Akira Yoshioka

Geom. Integrability & Quantization, 2019: 131-1160 (2019) DOI: 10.7546/giq-20-2019-131-160


The concept of fundamental domain, as defined by Ahlfors, plays an important role in the study of different classes of analytic functions. For more than a century the Dirichlet functions have been intensely studied by mathematicians working in the field of number theory as well as by those interested in their analytic properties. The fundamental domains pertain to the last field, yet we found a lot of theoretic aspects which can be dealt with by knowing in detail those domains. We gathered together in this survey paper some recent advances in this field. Proofs are provided for some of the theorems, so that the reader can navigate easily through it.


Published: 1 January 2019
First available in Project Euclid: 21 December 2018

zbMATH: 1417.30004
MathSciNet: MR3887748

Digital Object Identifier: 10.7546/giq-20-2019-131-160

Rights: Copyright © 2019 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences


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