Mock Theta Functions

Mock theta functions are a special type of mathematical function in the field of number theory and modular forms. Introduced by mathematician Srinivasa Ramanujan, they generalize traditional theta functions by capturing properties of partitions and q-series without requiring the same strict symmetries. They exhibit intriguing behavior, such as modularity and connections to combinatorial identities. Mock theta functions have gained significance in modern mathematics and physics, particularly in areas like string theory and statistical mechanics, helping to bridge connections between different mathematical concepts and enhance understanding of modular forms.