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Explore a 32-minute lecture from the Circle Method and Related Topics workshop at the International Centre for Theoretical Sciences that delves into the biases among classes of rank-crank partitions modulo 11. Learn from expert mathematician Badri Vishal Pandey as part of a comprehensive workshop designed for advanced Ph.D. students and researchers in analytic number theory. Gain insights into the circle method's applications in studying partition functions, with specific focus on rank-crank partition patterns and their behavior under modulo 11 operations. Delivered as part of a broader program examining the circle method's evolution and its crucial role in modern number theory, from its origins in partition function analysis to recent applications in L-functions, ergodic theory, and the Langlands program.
