Modular forms and Fermat's last theorem
The "basis problem'' for modular forms (of degree one) is to find a basis for a space of modular forms with elements whose Fourier coefficients can be computed explicitly. The authors give a general treatment for all cases. The main idea in the solution is to consider two kinds …
Modular forms: a classical approach
by Cohen, Henri, Strömberg, Fredrik
fromGraduate studies in mathematics
He theory of modular forms is a fundamental tool used in many areas of mathematics and physics. It is also a very concrete and 2fun3 subject in itself and abounds with an amazing number of surprising identities. This comprehensive textbook, which includes numerous exercises, aim…
Lectures on modular forms
by Gunning, Robert C., Brumer, Armand
fromAnnals of mathematics studies