The "q-Series" refers to a collection of mathematical series that involve a variable q . These series are significant in the field of combinatorics and number theory, often used to study partitions and generating functions. They can express various mathematical concepts, including the behavior of certain functions and identities. One of the most famous examples of a q-Series is the Jacobi triple product identity, which relates to the theory of modular forms. q-Series also play a crucial role in the study of q-calculus, which extends traditional calculus concepts using the variable q to explore new mathematical properties and relationships.