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Topic:modular forms

Modular forms are complex analytic functions that satisfy certain transformation properties under modular group actions. They have applications in number theory, algebraic geometry, and mathematical physics. These functions are highly symmetric and can be used to study the behavior of certain arithmetic functions, such as the partition function or the Ramanujan tau function. Modular forms have connections to many areas of mathematics and have been a subject of much research and interest among mathematicians for several centuries.