Laurent expansions of meromorphic modular forms
Bogo G, Li Y, Schwagenscheidt M (2024)
Journal of the London Mathematical Society 110(6): e70036.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
Download
Es wurden keine Dateien hochgeladen. Nur Publikationsnachweis!
Autor*in
Bogo, GabrieleUniBi;
Li, Yingkun;
Schwagenscheidt, Markus
Einrichtung
Abstract / Bemerkung
In this paper, we study the Laurent coefficients of meromorphic modular forms at complex multiplication points by giving two approaches of computing them. The first is a generalization of the method of Rodriguez-Villegas and Zagier, which expresses the Laurent coefficients as constant terms of a family of polynomials obtained through recursion. The second applies to meromorphic modular forms that are regularized theta lifts, and expresses their Laurent coefficients in terms of Fourier coefficients of harmonic Maass forms.
Erscheinungsjahr
2024
Zeitschriftentitel
Journal of the London Mathematical Society
Band
110
Ausgabe
6
Art.-Nr.
e70036
ISSN
0024-6107
eISSN
1469-7750
Page URI
https://pub.uni-bielefeld.de/record/2999799
Zitieren
Bogo G, Li Y, Schwagenscheidt M. Laurent expansions of meromorphic modular forms. Journal of the London Mathematical Society . 2024;110(6): e70036.
Bogo, G., Li, Y., & Schwagenscheidt, M. (2024). Laurent expansions of meromorphic modular forms. Journal of the London Mathematical Society , 110(6), e70036. https://doi.org/10.1112/jlms.70036
Bogo, Gabriele, Li, Yingkun, and Schwagenscheidt, Markus. 2024. “Laurent expansions of meromorphic modular forms”. Journal of the London Mathematical Society 110 (6): e70036.
Bogo, G., Li, Y., and Schwagenscheidt, M. (2024). Laurent expansions of meromorphic modular forms. Journal of the London Mathematical Society 110:e70036.
Bogo, G., Li, Y., & Schwagenscheidt, M., 2024. Laurent expansions of meromorphic modular forms. Journal of the London Mathematical Society , 110(6): e70036.
G. Bogo, Y. Li, and M. Schwagenscheidt, “Laurent expansions of meromorphic modular forms”, Journal of the London Mathematical Society , vol. 110, 2024, : e70036.
Bogo, G., Li, Y., Schwagenscheidt, M.: Laurent expansions of meromorphic modular forms. Journal of the London Mathematical Society . 110, : e70036 (2024).
Bogo, Gabriele, Li, Yingkun, and Schwagenscheidt, Markus. “Laurent expansions of meromorphic modular forms”. Journal of the London Mathematical Society 110.6 (2024): e70036.
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in
Google Scholar