Modular Forms and L-functions
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In this thesis, our main aims are expressing some strong relations between modular forms, Hecke operators, and L-functions. We start with background information for modular forms and give some information about the linear space of modular forms. Next, we introduce Hecke operators and their properties. Also we find a basis of Hecke eigenforms. Then, we explain how to construct L-functions from modular forms. Finally, we give a nice functional equation for completed L-function.
Karadag, Tekin (2016). Modular Forms and L-functions. Master's thesis, Texas A & M University. Available electronically from