Date | Feb 23, 2024 |
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Speaker | Mingkuan Zhang |

Dept. | TU Darmstadt |

Room | 27-325 |

Time | 16:00-17:00 |

Incoherent Eisenstein series are non-holomorphic Hilbert modular forms with parallel weight 1, whose first derivative at s = 0 plays a crucial role in the work of Gross and Zagier on singular moduli. In this talk, we will show that incoherent Eisenstein series can be realized as the Doi-Naganuma lifting of elliptic Eisenstein series and give some examples. As an application, this is used to obtain explicit formulas of certain generalized Rankin-Selberg L-series occurring in CM values of harmonic Maass forms. This is a joint-work with Yingkun in progress.

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