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SUMMARY:Andreas Mono (University of Cologne)
DTSTART:20211109T083500Z
DTEND:20211109T090500Z
DTSTAMP:20260423T010857Z
UID:JENTE/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/JENTE/52/">O
 n a twisted version of Zagier's $f_{k\,D}$ function</a>\nby Andreas Mono (
 University of Cologne) as part of Japan Europe Number Theory Exchange Semi
 nar\n\n\nAbstract\nWe present a twisting of Zagier’s $f_{k\,D}$ function
  by a sign function and a genus character. Assuming even and positive inte
 gral weight\, we inspect its obstruction to modularity\, and compute its F
 ourier expansion. This involves twisted hyperbolic Eisenstein series\, loc
 ally harmonic Maaß forms\, and modular cycle integrals\, which were studi
 ed by Duke\, Imamoglu\, Tóth. Lastly\, we outline some applications of ou
 r results to theta lifts of Poincaré series.\n
LOCATION:https://researchseminars.org/talk/JENTE/52/
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