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Explore the concept of generating functions in this 25-minute video lecture on number theory. Delve into advanced mathematical techniques used to solve complex problems in number theory and related fields. Learn how generating functions serve as powerful tools for analyzing sequences, solving recurrence relations, and uncovering patterns in numerical data. Gain insights into their applications in combinatorics, probability theory, and other areas of mathematics. Follow along as the instructor demonstrates problem-solving strategies and provides clear explanations of key concepts, enhancing your understanding of this important topic in number theory.