Journal of Undergraduate Research
Keywords
fourier coefficients, modular forms, holomorphic function
College
Physical and Mathematical Sciences
Department
Mathematics
Abstract
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.
Recommended Citation
Pratt, Kyle and Jenkins, Dr. Paul
(2015)
"The Fourier Coefficients of Modular Forms,"
Journal of Undergraduate Research: Vol. 2015:
Iss.
1, Article 203.
Available at:
https://scholarsarchive.byu.edu/jur/vol2015/iss1/203