Multicorrelation Sequences and Primes

Related lectures (28)

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Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores correlations of the Liouville function along deterministic and independent sequences, covering key concepts and theorems.

Covers the analytical expression of orthogonal projections and reflections in 2D space.

Explains orthogonal projection and vector decomposition with examples in particle trajectory analysis.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explores the applications of ergodic theory to combinatorics and number theory, including Szemerédi's Theorem and the Erdős-Kac Theorem.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers the QR factorization method applied to solving a system of linear equations in the least squares sense.

Explores prime numbers and Euclid's Theorem through a proof by contradiction.

Covers the theory of orthogonal projection in vector spaces and its practical applications.