ON THE REGULARIZED IMAGINARY DOI-NAGANUMA LIFTING

Cited 0 time in webofscience Cited 0 time in scopus
  • Hit : 172
  • Download : 0
Asai and Friedberg studied the imaginary Doi-Naganuma lifting which sends elliptic modular forms to automorphic forms over an imaginary quadratic field. In this paper we extend this lifting to weak Maass forms by using regularized integral. We construct an automorphic object with singularities on the quadratic upper half-plane H-1 by the regularized theta lifting of a weak Maass form. We also give the convergence region and describe its singularity type. Finally we compute the Fourier coefficients of the lifted form explicitly and present the case of Poincare series as an example.
Publisher
MATHEMATICAL SOC REP CHINA
Issue Date
2015-02
Language
English
Article Type
Article
Keywords

WEAK MAASS FORMS; MODULAR-FORMS; AUTOMORPHIC-FORMS; DIRICHLET SERIES; CUSP FORMS

Citation

TAIWANESE JOURNAL OF MATHEMATICS, v.19, no.1, pp.101 - 122

ISSN
1027-5487
URI
http://hdl.handle.net/10203/195615
Appears in Collection
Files in This Item
There are no files associated with this item.

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0