Department of Mathematics

Modular Forms

Please note that this page is old.
Check in the VVZ for a current information.
Dozenten Prof. Dr. Özlem Imamoglu and
Prof. Dr. Richard Pink
Dirk Zeindler
Ort HG G19.2
Zeit Mi 15:15-17:00
Voraussetzungen Funktionentheorie I
Literatur Neal Kobiltz, Introduction to Elliptc Curves and Modular forms, Springer GTM 9

General Information

Solution of the X-mas exercices

Lecture Notes:

Group 1:

Mario Berta: The modular Group and the Fundametal Domain

Urs Fuchs: Different realizations of the upper half plane and the reduction of quadratic forms

Salvatore Bonaccorso: Modular Forms, Eisenstein Series and a short introduction to Elliptic Functions

Group 2:

Jonas Jermann: The valence formula and the space of modular froms

Sacha Schweizer: The j-function

Dirk Zeindler: Infinite product of the discriminent and q-Expansion of eta

Group 3:

Simon Schieder: See J.P. Serre "A course in arithmetic", Chapter VI

Andreas Steiger: Riemann's second proof of the analytic continuation of the Riemann Zeta function

Felix Rubin: The first proof ot the analytic continuation of the Riemann zeta function and the L-function

Group 4:
Andrea Peter: Bound for fourier coefficients and Diriclet Series

Christoph Rösch: Hecke's Converse Theorem

Alex Maier: Hecke Operators

Group 5:

Maria Hempel: Basis of simultaneous Hecke Eigenforms

Jörg Leis: The Poincare Series

Lukas Lewark: Theta Functions


Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2016 Mathematics Department | Imprint | Disclaimer | 28 March 2007