Physical Sciences and Mathematics Commons^™

The Fourier Coefficients Of Modular Forms, Kyle Pratt, Dr. Paul Jenkins

Journal of Undergraduate Research

Modular forms are complex analytic functions with remarkable properties. Modular forms possess interesting and surprising connections to many different branches of mathematics. For example, it is well-known that Andrew Wiles’ proof of Fermat’s Last Theorem, a conjecture that had been unresolved for more than three centuries, utilized modular forms in a crucial way.