Naslov
Some Topics in the Theory of Modular Forms and Drinfeld Modular Forms

Autori
Kazalicki, Matija

Vrsta, podvrsta i kategorija rada
Ocjenski radovi, doktorska disertacija

Fakultet
Department of Mathematics

Mjesto
Madison

Datum
10.05

Godina
2010

Stranica
76

Mentor
Ono, Ken

Ključne riječi
Modular forms; class numbers

Sažetak
In this thesis we address four different topics from the theory of modular forms and Drinfeld modular forms. The first topic is about the linear relations between the initial coefficients in the t-expansion of Drinfeld modular forms of weight k and type 0. Generalizing the work of of Choie, Kohnen, and Ono, we describe linear relations by using certain vector spaces of Drinfeld modular forms. In the second topic, we consider the Drinfeld modular functions. In the third topic, we study the connection between 2-parts and 3-parts of the class numbers. In the fourth topic, we investigate the 2-adic properties of Fourier coecients of a certain class of modular functions, associated to the Fermat curves.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA