Automorphe Formen und L-Funktionen

by Rebecca Ulrike Möser née Jakob
Doctoral thesis
Date of Examination:2021-03-01
Date of issue:2021-03-26
Advisor:Prof. Dr. Valentin Blomer
Referee:Prof. Dr. Valentin Blomer
Referee:Prof. Dr. Jörg Brüdern
Persistent Address: http://dx.doi.org/10.53846/goediss-8516

 

 

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Abstract

English

We compute an explicit spectral expansion and deduce an asymptotic formula for the fourth power moment of L-functions associated to a family of characters of a totally real number field with class number 1. In the second part we compute an upper bound for the second power moment Rankin-Selberg L-functions associated to newforms of special level over a totally real number field with class number 1.
Keywords: Fourth Moment; Rankin Selberg; Hilbert Modular Form; Second Moment
 
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