On a twisted version of Zagier's $f_{k,D}$ function
Andreas Mono (University of Cologne)
Abstract: We present a twisting of Zagier’s $f_{k,D}$ function by a sign function and a genus character. Assuming even and positive integral weight, we inspect its obstruction to modularity, and compute its Fourier expansion. This involves twisted hyperbolic Eisenstein series, locally harmonic Maaß forms, and modular cycle integrals, which were studied by Duke, Imamoglu, Tóth. Lastly, we outline some applications of our results to theta lifts of Poincaré series.
number theory
Audience: researchers in the topic
Japan Europe Number Theory Exchange Seminar
Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.
Start for Fall 2021: 26th October
Organizers: | Henrik Bachmann*, Nils Matthes |
*contact for this listing |