The Langlands Program is a set of conjectures and theories that establish deep connections between number theory, representation theory, and harmonic analysis. It proposes a relationship between Galois groups and automorphic forms, suggesting that these seemingly different areas of mathematics can be unified through L-functions. This program has influenced various aspects of analytic number theory, including the study of Dirichlet L-functions and modular forms, and has spurred significant developments in recent mathematical research.
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