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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A Jensen–Rohrlich type formula for the hyperbolic 3-space
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by S. Herrero, Ö. Imamoḡlu, A.-M. von Pippich and Á. Tóth PDF
Trans. Amer. Math. Soc. 371 (2019), 6421-6446 Request permission

Abstract:

We give a Jensen–Rohrlich type formula for a certain class of automorphic functions on the hyperbolic 3-space for the group $\mathrm {PSL}_2(\mathcal {O}_K)$.
References
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Additional Information
  • S. Herrero
  • Affiliation: Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden
  • MR Author ID: 1098484
  • ORCID: 0000-0002-2521-7199
  • Email: sebastian.herrero.m@gmail.com
  • Ö. Imamoḡlu
  • Affiliation: Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8092 Zürich, Switzerland
  • Email: ozlem@math.ethz.ch
  • A.-M. von Pippich
  • Affiliation: Fachbereich Mathematik, Technische Universität Darmstadt, Schloßgartenstrasse 7, D-64289 Darmstadt, Germany
  • Email: pippich@mathematik.tu-darmstadt.de
  • Á. Tóth
  • Affiliation: Department of Analysis, Eötvös Loránd University and MTA Rényi Intézet Lendület Automorphic Research Group, South Building Room 3.207, Budapest, Hungary
  • Email: toth@cs.elte.hu
  • Received by editor(s): June 3, 2017
  • Received by editor(s) in revised form: December 4, 2017
  • Published electronically: August 17, 2018
  • Additional Notes: The fourth author was supported in part by the MTA Rényi Intézet Lendület Automorphic Research Group and the NKFIH (National Research, Development and Innovation Office) grant ERC_HU_15_118946.
  • © Copyright 2018 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 371 (2019), 6421-6446
  • MSC (2010): Primary 11F03, 11F55; Secondary 11F72
  • DOI: https://doi.org/10.1090/tran/7484
  • MathSciNet review: 3937331