Skip to Main Content

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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
HTML articles powered by AMS MathViewer

by Kathrin Bringmann, Martin Raum and Olav K. Richter PDF
Trans. Amer. Math. Soc. 367 (2015), 6647-6670 Request permission


Real-analytic Jacobi forms play key roles in different areas of mathematics and physics, but a satisfactory theory of such Jacobi forms has been lacking. In this paper, we fill this gap by introducing a space of harmonic Maass-Jacobi forms with singularities which includes the real-analytic Jacobi forms from Zwegers’s PhD thesis. We provide several structure results for the space of such Jacobi forms, and we employ Zwegers’s $\widehat {\mu }$-functions to establish a theta-like decomposition.
Similar Articles
Additional Information
  • Kathrin Bringmann
  • Affiliation: Mathematisches Institut, Universität zu Köln, Weyertal 86-90, D-50931 Köln, Germany
  • MR Author ID: 774752
  • Email:
  • Martin Raum
  • Affiliation: Department of Mathematics, ETH Zurich, Rämistrasse 101, CH-8092 Zürich, Switzerland
  • Address at time of publication: Max Planck Institute for Mathematics, Vivatsgasse 7, D-53111 Bonn, Germany
  • Email:
  • Olav K. Richter
  • Affiliation: Department of Mathematics, University of North Texas, Denton, Texas 76203
  • ORCID: 0000-0003-3886-0893
  • Email:
  • Received by editor(s): June 21, 2013
  • Received by editor(s) in revised form: February 18, 2014
  • Published electronically: January 15, 2015
  • Additional Notes: The first author was partially supported by the Alfried Krupp Prize for Young University Teachers of the Krupp Foundation and by NSF grant DMS-$0757907$. The second author held a scholarship from the Max Planck Society and is supported by the ETH Zurich Postdoctoral Fellowship Program and by the Marie Curie Actions for People COFUND Program. The third author was partially supported by Simons Foundation grant $\#200765$
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 367 (2015), 6647-6670
  • MSC (2010): Primary 11F50; Secondary 11F60, 11F55, 11F37, 11F30, 11F27
  • DOI:
  • MathSciNet review: 3356950