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Topic:automorphic forms

Automorphic forms are mathematical functions that have applications in number theory, algebraic geometry, and other areas of mathematics. These functions are invariant under a specific group of transformations, such as the modular group, and have important properties that make them useful for studying special functions, L-functions, and other mathematical concepts. Automorphic forms play a fundamental role in the theory of modular forms, Langlands program, and the study of elliptic curves. They have connections to complex analysis, representation theory, and harmonic analysis, and have been extensively studied by mathematicians over the past century.