Abstract
We study the Millson theta lift which maps weight −2k to weight 1/2−k harmonic weak Maass forms for k∈Z,k≥0, and which is closely related to the classical Shintani lift from weight 2k+2 to weight k+3/2 cusp forms. We compute the Fourier expansion of the theta lift and show that it involves twisted traces of CM values and geodesic cycle integrals of the input function. As an application, we recover Zagier's generating series of twisted traces of singular moduli of weight 1/2 as Millson lifts.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
