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Jacobiformen und L-Funktionen

Weigel, Miriam

English Title: Jacobiforms and L-functions

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Abstract

In der vorliegenden Dissertation werden die Fourierkoeffizienten der Kernfunktion aus [Mar14] explizit berechnet. Mit Hilfe der Fourierdarstellung der Kernfunktion wird dann das Nicht-Verschwinden der zu Jacobi-Spitzenformen assoziierten L-Funktionen und der Ableitungen der L-Funktionen mit der Methode aus [Koh97] gezeigt.

Translation of abstract (English)

In this thesis we will calculate explicitly the Fourier coefficients of the kernel function of [Mar14]. Using the Fourier representation of the kernel function we will prove a non-vanishing result for L-functions associated to Jacobi cusp forms and for the derivatives of L-functions with the method of [Koh97].

Item Type: Dissertation
Supervisor: Kohnen, Prof. Dr. Winfried
Date of thesis defense: 27 June 2019
Date Deposited: 03 Jul 2019 13:54
Date: 2019
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Jacobi-Form, L-Funktion
Uncontrolled Keywords: Nicht-Verschwinden

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  • Jacobiformen und L-Funktionen. (deposited 03 Jul 2019 13:54) [Currently Displayed]
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