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Watch this 19-minute conference talk exploring Fourier optimization and pair correlation problems in number theory. Discover how Fourier analysis techniques apply to fundamental questions in number theory, particularly focusing on optimization problems and the statistical behavior of number sequences. Learn about the mathematical connections between harmonic analysis and arithmetic structures, examining how Fourier methods can illuminate patterns and irregularities in number-theoretic contexts. Explore the intersection of analysis and number theory through concrete examples and theoretical frameworks that demonstrate the power of Fourier techniques in solving classical problems. Gain insights into current research directions where Fourier analysis provides new perspectives on longstanding questions about the distribution and correlation properties of mathematical objects in number theory.
